Publications (80)125.47 Total impact

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ABSTRACT: Relativistic lightfront boundstate equations for mesons and baryons can be constructed in the chiral limit from the supercharges of a superconformal algebra which connect baryon and meson spectra. Quark masses break the conformal invariance, but the basic underlying supersymmetric mechanism, which transforms meson and baryon wave functions into each other, still holds and gives remarkable connections across the entire spectrum of light and heavylight hadrons. We also briefly examine the consequences of extending the superconformal relations to doubleheavy mesons and baryons. 
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ABSTRACT: We construct an effective QCD lightfront Hamiltonian for both mesons and baryons in the chiral limit based on the generalized supercharges of a superconformal graded algebra. The superconformal construction is shown to be equivalent to a semiclassical approximation to lightfront QCD and its embedding in AdS space. The specific breaking of conformal invariance inside the graded algebra uniquely determines the effective confinement potential. The generalized supercharges connect the baryon and meson spectra to each other in a remarkable manner. In particular, the $\pi/b_1$ Regge trajectory is identified as the superpartner of the nucleon trajectory. However, the lowestlying state on this trajectory, the $\pi$meson is massless in the chiral limit and has no supersymmetric partner.Physical Review D 01/2015; 91(8). DOI:10.1103/PhysRevD.91.085016 · 4.86 Impact Factor 
FewBody Systems 01/2015; DOI:10.1007/s0060101509641 · 1.51 Impact Factor

Article: Baryon Spectrum from Superconformal Quantum Mechanics and its LightFront Holographic Embedding
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ABSTRACT: We describe the observed lightbaryon spectrum by extending superconformal quantum mechanics to the light front and its embedding in AdS space. This procedure uniquely determines the confinement potential for arbitrary halfinteger spin. To this end, we show that fermionic wave equations in AdS space are dual to lightfront supersymmetric quantum mechanical boundstate equations in physical spacetime. The specific breaking of conformal invariance inside the algebra explains hadronic properties common to light mesons and baryons, such as the observed mass pattern in the radial and orbital excitations. The holographic embedding in AdS also explains distinctive and systematic features, such as the spinJ degeneracy observed in the light baryon spectrum.Physical Review D 11/2014; 91(4). DOI:10.1103/PhysRevD.91.045040 · 4.86 Impact Factor 
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ABSTRACT: The valence Fockstate wavefunctions of the lightfront QCD Hamiltonian satisfy a relativistic equation of motion with an effective confining potential $U$ which systematically incorporates the effects of higher quark and gluon Fock states. If one requires that the effective action which underlies the QCD Lagrangian remains conformally invariant and extends the formalism of de Alfaro, Fubini and Furlan to light front Hamiltonian theory, the potential $U$ has a unique form of a harmonic oscillator potential, and a mass gap arises. The result is a nonperturbative relativistic lightfront quantum mechanical wave equation which incorporates color confinement and other essential spectroscopic and dynamical features of hadron physics, including a massless pion for zero quark mass and linear Regge trajectories with the same slope in the radial quantum number $n$ and orbital angular momentum $L$. Only one mass parameter $\kappa$ appears. Lightfront holography thus provides a precise relation between the boundstate amplitudes in the fifth dimension of AdS space and the boostinvariant lightfront wavefunctions describing the internal structure of hadrons in physical spacetime. We also show how the mass scale $\kappa$ underlying confinement and hadron masses determines the scale $\Lambda_{\overline{MS}} $ controlling the evolution of the perturbative QCD coupling. The relation between scales is obtained by matching the nonperturbative dynamics, as described by an effective conformal theory mapped to the lightfront and its embedding in AdS space, to the perturbative QCD regime computed to fourloop order. The result is an effective coupling defined at all momenta. The predicted value $\Lambda_{\overline{MS}} = 0.328 \pm 0.034$ GeV is in agreement with the world average $0.339 \pm 0.010$ GeV. The analysis applies to any renormalization scheme. 
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ABSTRACT: We show how the physical mass scale $\kappa$ underlying confinement and hadron masses determines the scale $\Lambda_s$ in the QCD running coupling. The relation between scales is obtained by matching the nonperturbative dynamics, as described by an effective conformal theory mapped to the lightfront and its embedding in AdS space, to the perturbative QCD regime computed to fourloop order. The result is an effective coupling defined at all momenta. The predicted value $\Lambda_{\overline{MS}} = 0.328 \pm 0.034$ GeV is in agreement with the world average $0.339 \pm 0.010$ GeV. Our analysis applies to any renormalization scheme. 
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ABSTRACT: In this Report we explore the remarkable connections between lightfront dynamics, its holographic mapping to gravity in a higherdimensional antide Sitter (AdS) space, and conformal quantum mechanics. This approach provides new insights into the origin of a fundamental mass scale and the physics underlying confinement dynamics in QCD in the limit of massless quarks. The result is a relativistic lightfront wave equation for arbitrary spin with an effective confinement potential derived from a conformal action and its embedding in AdS space. This equation allows for the computation of essential features of hadron spectra in terms of a single scale. The lightfront holographic methods described here gives a precise interpretation of holographic variables and quantities in AdS space in terms of lightfront variables and quantum numbers. This leads to a relation between the AdS wave functions and the boostinvariant lightfront wavefunctions describing the internal structure of hadronic boundstates in physical spacetime. The pion is massless and the excitation spectra of relativistic lightquark meson and baryon bound states lie on linear Regge trajectories with identical slopes in the radial and orbital quantum numbers. In the lightfront holographic approach described here currents are expressed as an infinite sum of poles, and form factors as a product of poles. At large $q^2$ the form factor incorporates the correct powerlaw falloff for hard scattering independent of the specific dynamics and is dictated by the twist. At low $q^2$ the form factor leads to vector dominance. The approach is also extended to include small quark masses. We briefly review in this Report other holographic approaches to QCD, in particular topdown and bottomup models based on chiral symmetry breaking. We also include a discussion of open problems and future applications. 
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ABSTRACT: We describe a procedure to extend the lightfront holographic approach to hadronic physics to include lightquark masses. The proposed framework allows us to extend the formalism of de Alfaro, Fubini and Furlan to the frameindependent lightfront Hamiltonian theory in the approximation where the dynamics in the invariant transverse variable is unchanged to first order in the quark masses. The confinement potential follows from an effective theory which encodes the fundamental conformality of the classical QCD Lagrangian and leads to a semiclassical relativistic lightfront wave equation for arbitrary spin. In particular, the K meson spectrum is successfully described without modifying the emerging confinement scale. The Wilson loop criteria for confinement is maintained, since for light quark masses a harmonic potential and linear Regge trajectories in the lightfront form of dynamics corresponds to a linear potential in the usual instantform. 
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ABSTRACT: We describe a procedure to extend the lightfront holographic approach to hadronic physics to include lightquark masses. The proposed framework allows us to extend the formalism of de Alfaro, Fubini and Furlan to the frameindependent lightfront Hamiltonian theory in the approximation where the dynamics in the invariant transverse variable is unchanged to first order in the quark masses. The confinement potential follows from an effective theory which encodes the fundamental conformality of the classical QCD Lagrangian and leads to a semiclassical relativistic lightfront wave equation for arbitrary spin. In particular, the K meson spectrum is successfully described without modifying the emerging confinement scale. The Wilson loop criteria for confinement is maintained, since for light quark masses a harmonic potential and linear Regge trajectories in the lightfront form of dynamics corresponds to a linear potential in the usual instantform. 
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ABSTRACT: One of the most fundamental problems in Quantum Chromodynamics is to understand the origin of the mass scale which controls the range of color confinement and the hadronic spectrum. We show that a mass gap and a fundamental color confinement scale arise when one extends the formalism of de Alfaro, Fubini and Furlan to frameindependent lightfront Hamiltonian theory. Remarkably, the resulting lightfront potential has a unique form of a harmonic oscillator in the lightfront invariant impact variable if one requires that the action remains conformally invariant. The result is a singlevariable relativistic equation of motion for $q \bar q$ bound states, a "LightFront Shr\"odinger Equation", analogous to the nonrelativistic radial Schr\"odinger equation, which incorporates color confinement and other essential spectroscopic and dynamical features of hadron physics, including a massless pion for zero quark mass and linear Regge trajectories with the same slope in the radial quantum number and orbital angular momentum. The same equations with the correct hadron spin dependence arise from the holographic mapping of modified AdS$_5$ space with a specific dilaton profile. A fundamental mass parameter $\kappa$ appears, determining the hadron masses and the length scale which underlies hadron structure. Quark masses can be introduced to account for the spectrum of strange hadrons. This LightFront Holographic approach predicts not only hadron spectroscopy successfully, but also hadronic form factors, the QCD running coupling at small virtuality, and the lightfront wavefunctions of hadrons. Thus the combination of lightfront dynamics, its holographic mapping to gravity in a higherdimensional space and the dAFF procedure provides new insight into the physics underlying color confinement, chiral invariance, and the QCD mass scale.International Journal of Modern Physics A 04/2014; 29(21). DOI:10.1142/S0217751X14440138 · 1.09 Impact Factor 
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ABSTRACT: We observe that the effective potentials obtained from lattice gauge theory, derived from string models of hadrons, and determined from models using frontform dynamics and lightfront holography agree with each other at leading approximation, not only in their shape  which depends on the form of dynamics  but also in their numerical strength.Physical Review D 03/2014; 90(7). DOI:10.1103/PhysRevD.90.074017 · 4.86 Impact Factor 
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ABSTRACT: We briefly review the remarkable connections between lightfront QCD, gravity in AdS space, and conformal quantum mechanics. We discuss, in particular, the group theoretical and geometrical aspects of the underlying onedimensional quantum field theory. The resulting effective theory leads to a phenomenologically successful confining interaction potential in the relativistic lightfront wave equation which incorporates relevant nonperturbative dynamical aspects of hadron physics. 
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ABSTRACT: To a first semiclassical approximation one can reduce the multiparton lightfront problem in QCD to an effective onedimensional quantum field theory, which encodes the fundamental conformal symmetry of the classical QCD Lagrangian. This procedure leads to a relativistic lightfront wave equation for arbitrary spin which incorporates essential spectroscopic and nonperturbative dynamical features of hadron physics. The mass scale for confinement and higher dimensional holographic mapping to AdS space are also emergent properties of this framework.The European Physical Journal Conferences 01/2014; 73. DOI:10.1051/epjconf/20147301014 
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ABSTRACT: LightFront Hamiltonian theory provides a rigorous frameindependent framework for solving nonperturbative QCD. The valence Fockstate wavefunctions of the lightfront QCD Hamiltonian satisfy a singlevariable relativistic equation of motion, analogous to the nonrelativistic radial Schr\"odinger equation, with an effective confining potential U which systematically incorporates the effects of higher quark and gluon Fock states. Remarkably, the potential U has a unique form of a harmonic oscillator potential if one requires that the chiral QCD action remains conformally invariant. A mass gap arises when one extends the formalism of de Alfaro, Fubini and Furlan to lightfront Hamiltonian theory. The valence LF meson wavefunctions for zero quark mass satisfy a singlevariable relativistic equation of motion in the invariant variable $\zeta^2=b^2_\perp x(1x)$, which is conjugate to the invariant mass squared. The result is a nonperturbative relativistic lightfront quantum mechanical wave equation which incorporates color confinement and other essential spectroscopic and dynamical features of hadron physics, including a massless pion for zero quark mass and linear Regge trajectories with the same slope in the radial quantum number n and orbital angular momentum L. The corresponding lightfront Dirac equation provides a model of nucleons. The same lightfront equations arise from the holographic mapping of the softwall model modification of AdS_5 space with a unique dilaton profile to QCD (3+1) at fixed lightfront time. Lightfront holography thus provides a precise relation between amplitudes in the fifth dimension of AdS space and lightfront wavefunctions. We also discuss the implications of the underlying conformal template of QCD for renormalization scalesetting, and the implications of lightfront quantization for the value of the cosmological constant.FewBody Systems 10/2013; DOI:10.1007/s006010130740z · 1.51 Impact Factor 
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ABSTRACT: Antide Sitter space in five dimensions provides an exact geometrical representation of the conformal group. Remarkably, gravity in AdS$_5$ space is holographically dual to frameindependent lightfront Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed lightfront time $\tau = x^0+x^3$. Lightfront holography also leads to a precise relation between the boundstate amplitudes in the fifth dimension $z$ of AdS space and the variable $\zeta$, where $\zeta^2 = b^2_\perp x(1x)$ is the argument of the boostinvariant lightfront wavefunctions describing the internal structure of hadrons in physical spacetime. The holographic mapping of AdS space with a specific "softwall" dilaton yields a confining potential $U(\zeta^2)$ for the lightfront Schr\"odinger equation for hadrons with arbitrary spin $J$. Remarkably, $U(\zeta^2)$ has a unique form of a harmonic oscillator potential if one requires that the chiral QCD action remains conformally invariant. One thus obtains an effective lightfront effective theory for general spin which respects the conformal symmetry of the fourdimensional classical QCD Lagrangian. The predictions of the LF equations of motion include a zeromass pion in the chiral $m_q\to 0$ limit, and linear Regge trajectories $M^2(n,L) \propto n+L$ with the same slope in the radial quantum number $n$ and the orbital angular momentum $L$. The lightfront AdS/QCD holographic approach gives a frameindependent representation of colorconfining dynamics, Regge spectroscopy, as well as the excitation spectra of relativistic lightquark meson and baryon bound states in QCD in terms of a single mass parameter. We also briefly discuss the implications of the underlying conformal template of QCD for renormalization scalesetting, and the implications of lightfront quantization for the value of the cosmological constant. 
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ABSTRACT: LightFront Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed lightfront time \tau = t+z/c, provides a rigorous frameindependent framework for solving nonperturbative QCD. The eigenvalues of the lightfront QCD Hamiltonian predict the hadronic mass spectrum, and the eigensolutions provide the lightfront wavefunctions describing hadron structure. The valence Fockstate wavefunctions of the lightfront QCD Hamiltonian satisfy a singlevariable relativistic equation of motion, analogous to the nonrelativistic radial Schrodinger equation, with an effective confining potential U which systematically incorporates the effects of higher quark and gluon Fock states. The potential U has a unique form if one requires that the action for zero quark mass remains conformally invariant. The holographic mapping of gravity in AdS space to QCD with a specific softwall dilaton yields the same lightfront Schrodinger equation. It also gives a precise relation between the boundstate amplitudes in the fifth dimension z of AdS space and the boostinvariant lightfront wavefunctions describing the internal structure of hadrons in physical spacetime. The elastic and transition form factors of the pion and the nucleons are found to be well described in this framework. The predictions include a zeromass pion in the chiral limit, and linear Regge trajectories with the same slope in the radial quantum number n and orbital angular momentum L. The lightfront AdS/QCD holographic approach thus gives a frameindependent representation of colorconfining dynamics and the excitation spectra of lightquark hadrons in terms of a single mass parameter. We also discuss the implications of the underlying conformal template of QCD for renormalization scalesetting and the implications of lightfront quantization for the value of the cosmological constant.Nuclear Physics B  Proceedings Supplements 08/2013; s 251–252. DOI:10.1016/j.nuclphysbps.2014.04.001 · 0.88 Impact Factor 
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ABSTRACT: We review some outstanding puzzles and experimental anomalies in hadron physics that appear to challenge conventional wisdom and, in some cases, the foundations of QCD. We also discuss possible solutions and propose new tests and experiments that could illuminate the underlying physics and novel phenomenological features of QCD. In some cases, new perspectives for QCD physics have emerged.Annual Review of Nuclear and Particle Science 02/2013; 62. DOI:10.1146/annurevnucl102711094949 · 6.49 Impact Factor 
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ABSTRACT: We show that (a) the conformal properties of Antide Sitter (AdS) space, (b) the properties of a field theory in one dimension under the full conformal group found by de Alfaro, Fubini and Furlan, and (c) the frameindependent singlevariable lightfront Schr\"odinger equation for bound states all lead to the same result: a relativistic nonperturbative model which successfully incorporates salient features of hadronic physics, including confinement, linear Regge trajectories, and results which are conventionally attributed to spontaneous chiral symmetry breaking. 
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ABSTRACT: A complementary approach, derived from (a) higher dimensional antide Sitter (AdS) space, (b) lightfront quantization and (c) the invariance properties of the full conformal group in one dimension leads to a nonperturbative relativistic lightfront wave equation which incorporates essential spectroscopic and dynamical features of hadron physics. The fundamental conformal symmetry of the classical QCD Lagrangian in the limit of massless quarks is encoded in the resulting effective theory. The mass scale for confinement emerges from the isomorphism between the conformal group and SO(2,1). This scale appears in the lightfront Hamiltonian by mapping to the evolution operator in the formalism of de Alfaro, Fubini and Furlan, which retains the conformal invariance of the action. Remarkably, the specific form of the confinement interaction and the corresponding modification of AdS space are uniquely determined in this procedure.Physics Letters B 02/2013; 729. DOI:10.1016/j.physletb.2013.12.044 · 6.02 Impact Factor 
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ABSTRACT: A remarkable holographic feature of dynamics in AdS space in five dimensions is that it is dual to Hamiltonian theory in physical spacetime, quantized at fixed lightfront time {\tau} = t+z/c. This lightfront holographic principle provides a precise relation between the boundstate amplitudes in AdS space and the boostinvariant lightfront wavefunctions describing the internal structure of hadrons in physical spacetime. The fifth dimension coordinate z is dual to the light front variable {\zeta} describing the invariant separation of the quark constituents. The resulting valence Fockstate wavefunction eigensolutions of the lightfront QCD Hamiltonian satisfy a singlevariable relativistic equation of motion, analogous to the nonrelativistic radial Schr\"odinger equation. The softwall dilaton profile exp ({\kappa}^2 {\zeta}^2) provides a model for the lightfront potential which is colorconfining and reproduces well the linear Regge behavior of the lightquark hadron spectrum in both L, the orbital angular momentum, and n, the radial node number. The pion mass vanishes in the chiral limit and other features of chiral symmetry are satisfied. The resulting running QCD coupling displays an infrared fixed point. The elastic and transition form factors of the pion and the nucleons are also found to be well described in this framework. The lightfront AdS/QCD holographic approach thus gives a frameindependent analytic first approximation of the colorconfining dynamics, spectroscopy, and excitation spectra of relativistic lightquark bound states in QCD.
Publication Stats
2k  Citations  
125.47  Total Impact Points  
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Institutions

1982–2014

University of Costa Rica
 Escuela de Física
San José, San José, Costa Rica


2007–2013

Stanford University
 SLAC National Accelerator Laboratory
Palo Alto, California, United States


2008

École Polytechnique
 Centre de Physique Théorique
Paliseau, ÎledeFrance, France


1984

Harvard University
Cambridge, Massachusetts, United States


1980

American University Washington D.C.
Washington, Washington, D.C., United States
