Publications (47)144.43 Total impact
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ABSTRACT: NambuJonaLasiniotype models have been used extensively to study the dynamics of the theory of the strong interaction at finite temperature and quark chemical potential on a phenomenological level. In addition to these studies, which are often performed under the assumption that the ground state of the theory is homogeneous, searches for the existence of crystalline phases associated with inhomogeneous ground states have attracted a lot of interest in recent years. In this work, we study the Polyakovloop extended NambuJonaLasinio model and find that the existence of a crystalline phase is stable against a variation of the parametrization of the underlying Polyakov loop potential. To this end, we adopt two prominent parametrizations. Moreover, we observe that the existence of a quarkyonic phase depends crucially on the parametrization, in particular in the regime of the phase diagram where inhomogeneous chiral condensation is favored. 
Article: Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
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ABSTRACT: We present a nonperturbative computation of the equation of state of polarized, attractively interacting, nonrelativistic fermions in one spatial dimension. We show results for the density, spin magnetization, magnetic susceptibility, and Tan's contact. We compare with the secondorder virial expansion and interpret our results in terms of pairing correlations. Our lattice Monte Carlo calculations implement an imaginary chemical potential difference to avoid the sign problem. The thermodynamic results on the imaginary side are analytically continued to obtain results on the real axis. We focus on an intermediate to strongcoupling regime, and cover a wide range of temperatures and spin imbalances.  [Show abstract] [Hide abstract]
ABSTRACT: We study the phase diagram of mass and spinimbalanced unitary Fermi gases, in search for the emergence of spatially inhomogeneous phases. To account for fluctuation effects beyond the meanfield approximation, we employ renormalization group techniques. We thus obtain estimates for critical values of the temperature, mass and spin imbalance, above which the system is in the normal phase. In the unpolarized, equalmass limit, our result for the critical temperature is in accordance with stateoftheart Monte Carlo calculations. In addition, we estimate the location of regions in the phase diagram where inhomogeneous phases are likely to exist. We show that an intriguing relation exists between the general structure of the manybody phase diagram and the binding energies of the underlying twobody boundstate problem, which further supports our findings. Our results suggest that inhomogeneous condensates form for mass ratios of the spindown and spinup fermions greater than three. The extent of the inhomogeneous phase in parameter space increases with increasing mass imbalance. 
Article: Delayed Magnetic Catalysis
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ABSTRACT: We study the effect of an external magnetic field on the chiral phase transition in the theory of the strong interaction by means of a renormalizationgroup (RG) fixedpoint analysis, relying on only one physical input parameter, the strong coupling at a given large momentum scale. To be specific, we consider the interplay of the RG flow of fourquark interactions and the running gauge coupling. Depending on the temperature and the strength of the magnetic field, the gauge coupling can drive the quark sector to criticality, resulting in chiral symmetry breaking. In accordance with lattice MonteCarlo simulations, we find that the chiral phase transition temperature decreases for small values of the external magnetic field. For large magnetic field strengths, however, our fixedpoint study predicts that the phase transition temperature increases monotonically.  [Show abstract] [Hide abstract]
ABSTRACT: We present an analysis of the dynamics of twoflavour QCD in the vacuum. Special attention is payed to the transition from the high energy quarkgluon regime to the low energy regime governed by hadron dynamics. This is done within a functional renormalisation group approach to QCD amended by dynamical hadronisation techniques. The latter allow us to describe conveniently the transition from the perturbative highenergy regime to the nonperturbative lowenergy limit without suffering from a finetuning of model parameters. In the present work, we apply these techniques to twoflavour QCD with physical quark masses and show how the dynamics of the dominant lowenergy degrees of freedom emerge from the underlying quarkgluon dynamics.  [Show abstract] [Hide abstract]
ABSTRACT: We revisit the GrossNeveu model with N fermion flavors in 1+1 dimensions and compute its phase diagram at finite temperature and chemical potential in the largeN limit. To this end, we double the number of fermion degrees of freedom in a specific way which allows us to detect inhomogeneous phases in an efficient manner. We show analytically that this "fermion doubling trick" predicts correctly the position of the boundary between the chirally symmetric phase and the phase with broken chiral symmetry. Most importantly, we find that the emergence of an inhomogeneous ground state is predicted correctly. We critically analyze our approach based on this trick and discuss its applicability to other theories, such as fermionic models in higher dimensions, where it may be used to guide the search for inhomogeneous phases.  [Show abstract] [Hide abstract]
ABSTRACT: We calculate the zerotemperature equation of state of massimbalanced resonant Fermi gases in an ab initio fashion, by implementing the recent proposal of imaginaryvalued mass difference to bypass the sign problem in lattice Monte Carlo calculations. The fully nonperturbative results thus obtained are analytically continued to real mass imbalance to yield the physical equation of state, providing predictions for upcoming experiments with massimbalanced atomic Fermi gases. In addition, we present an exact relation for the rate of change of the equation of state at small mass imbalances, showing that it is fully determined by the energy of the massbalanced system.  [Show abstract] [Hide abstract]
ABSTRACT: We analyze the manyflavor phase diagram of quantum electrodynamics (QED) in 2+1 (Euclidean) spacetime dimensions. We compute the critical flavor number above which the theory is in the quasiconformal massless phase. For this, we study the renormalization group fixedpoint structure in the space of gauge interactions and pointlike fermionic selfinteractions, the latter of which are induced dynamically by fermionphoton interactions. We find that a reliable estimate of the critical flavor number crucially relies on a careful treatment of the Fierz ambiguity in the fermionic sector. Using a Fierzcomplete basis, our results indicate that the phase transition towards a chirallybroken phase occurring at small flavor numbers could be separated from the quasiconformal phase at larger flavor numbers, allowing for an intermediate phase which is dominated by fluctuations in a vector channel. If these interactions approach criticality, the intermediate phase could be characterized by a Lorentzbreaking vector condensate.  [Show abstract] [Hide abstract]
ABSTRACT: We analyze the phase structure of mass and spinimbalanced unitary Fermi gases in harmonic traps. To this end, we employ Density Functional Theory in the local density approximation. Depending on the values of the control parameters measuring mass and spin imbalance, we observe that three regions exist in the trap, namely: a superfluid region at the center, surrounded by a mixed region of resonantly interacting spinup and spindown fermions, and finally a fully polarized phase surrounding the previous two regions. We also find regimes in the phase diagram where the existence of a superfluid region at the center of the trap is not energetically favored. We point out the limitations of our approach at the present stage, and call for more detailed (ab initio) studies of the equation of state of uniform, massimbalanced unitary Fermi gases.  [Show abstract] [Hide abstract]
ABSTRACT: We compute the phase diagram of strongly interacting fermions in one dimension at finite temperature, with mass and spin imbalance. By including the possibility of the existence of a spatially inhomogeneous ground state, we find regions where spatially varying superfluid phases are favored over homogeneous phases. We obtain estimates for critical values of the temperature, mass and spin imbalance, above which these phases disappear. Finally, we show that an intriguing relation exists between the general structure of the phase diagram and the binding energies of the underlying twobody boundstate problem.  [Show abstract] [Hide abstract]
ABSTRACT: We investigate the effect of a finite volume on the critical behavior of the theory of the strong interaction (QCD) by means of a quarkmeson model for two quark flavors. In particular, we analyze the effect of a finite volume on the location of the critical point in the phase diagram existing in our model. In our analysis, we take into account the effect of longrange fluctuations with the aid of renormalization group techniques. We find that these quantum and thermal fluctuations, absent in meanfield studies, play an import role for the dynamics in a finite volume. We show that the critical point is shifted towards smaller temperatures and larger values of the quark chemical potential if the volume size is decreased. This behavior persists for antiperiodic as well as periodic boundary conditions for the quark fields as used in many lattice QCD simulations.  [Show abstract] [Hide abstract]
ABSTRACT: We discuss a twopoint particle irreducible (2PPI) approach to manybody physics which relies on a renormalization group (RG) flow equation for the associated effective action. In particular, the general structure and properties of this RG flow equation are analyzed in detail. Moreover, we discuss how our 2PPI RG approach relates to Density Functional Theory and argue that it can in principle be used to study groundstate properties of nonrelativistic manybody systems from microscopic interactions, such as (heavy) nuclei. For illustration purposes, we use our formalism to compute the groundstate properties of two toy models.  [Show abstract] [Hide abstract]
ABSTRACT: Fermi gases in strongly coupled regimes, such as the unitary limit, are inherently challenging for manybody methods. Although much progress has been made with purely analytic methods, quantitative results require ab initio numerical approaches, such as Monte Carlo (MC) calculations. However, massimbalanced and spinimbalanced gases are not accessible to MC calculations due to the infamous sign problem. It was recently pointed out that the sign problem, for finite spin imbalance, can be circumvented by resorting to imaginary polarizations and analytic continuation. Large parts of the phase diagram spanned by temperature and polarization then become accessible to MC calculations. We propose to apply a similar strategy to the massimbalanced case, which opens up the possibility to study the associated phase diagram with MC calculations. In particular, our analysis suggests that a detection of a (tri)critical point in this phase diagram is possible. We also discuss calculations in the zerotemperature limit with our approach.  [Show abstract] [Hide abstract]
ABSTRACT: From ultracold atoms to quantum chromodynamics, reliable ab initio studies of strongly interacting fermions require numerical methods, typically in some form of quantum Monte Carlo calculation. Unfortunately, (non)relativistic systems at finite density (spin polarization) generally have a sign problem, such that those ab initio calculations are impractical. It is wellknown, however, that in the relativistic case imaginary chemical potentials solve this problem, assuming the data can be analytically continued to the real axis. Is this feasible for nonrelativistic systems? Are the interesting features of the phase diagram accessible in this manner? By introducing complex chemical potentials, for real total particle number and imaginary polarization, the sign problem is avoided in the nonrelativistic case. To give a first answer to the above questions, we perform a meanfield study of the finitetemperature phase diagram of spin1/2 fermions with imaginary polarization.  [Show abstract] [Hide abstract]
ABSTRACT: We analyse the role of the quark backreaction on the gaugefield dynamics and its impact on the Polyakovloop potential. Based on our analysis we construct an improved Polyakovloop potential that can be used in future model studies. In the present work, we employe this improved potential in a study of a 2+1 flavour Polyakovquarkmeson model and show that the temperature dependence of the order parameters and thermodynamics is closer to full QCD. We discuss the results for QCD thermodynamics and outline briefly the dependence of our results on the critical temperature and the parametrisation of the Polyakovloop potential as well as the mass of the sigmameson.  [Show abstract] [Hide abstract]
ABSTRACT: We investigate the quark backreaction on the Polyakov loop and its impact on the thermodynamics of quantum chromodynamics. The dynamics of the gluons generating the Polyakovloop potential is altered by the presence of dynamical quarks. However, this backreaction of the quarks has not yet been taken into account in Polyakovloop extended model studies. In the present work, we show within a 2+1 flavour Polyakovquarkmeson model that a quarkimproved Polyakovloop potential leads to a smoother transition between the lowtemperature hadronic phase and the hightemperature quarkgluon plasma phase. In particular, we discuss the dependence of our results on the remaining uncertainties that are the critical temperature and the parametrisation of the Polyakovloop potential as well as the mass of the sigmameson.  [Show abstract] [Hide abstract]
ABSTRACT: We study the phase diagram of the GrossNeveu model in d=2+1 spacetime dimensions in the plane spanned by temperature and the number of massless fermion flavors. We use a functional renormalization group approach based on a nonperturbative derivative expansion that accounts for fermionic as well as composite bosonic fluctuations. We map out the phase boundary separating the ordered massive lowtemperature phase from the disordered hightemperature phase. The phases are separated by a secondorder phase transition in the 2d Ising universality class. We determine the size of the Ginzburg region and show that it scales to zero for large $\Nf$ following a powerlaw, in agreement with large$\Nf$ and lattice studies. We also study the regimes of local order above as well as the classical regime below the critical temperature.  [Show abstract] [Hide abstract]
ABSTRACT: From ultracold atoms to quantum chromodynamics, reliable ab initio studies of strongly interacting fermions require numerical methods, typically in some form of quantum Monte Carlo. Unfortunately, (non)relativistic systems at finite density (spin polarization) generally have a sign problem, such that those ab initio calculations are impractical. It is well known, however, that in the relativistic case imaginary chemical potentials solve this problem, assuming the data can be analytically continued to the real axis. Is this feasible for nonrelativistic systems? Are the interesting features of the phase diagram accessible in this manner? Introducing complex chemical potentials, for real total particle number and imaginary polarization, the sign problem is avoided in the nonrelativistic case. To give a first answer to the above questions, we perform a meanfield study of the finitetemperature phase diagram of spin1/2 fermions with imaginary polarization.  [Show abstract] [Hide abstract]
ABSTRACT: We study the relation of confinement and chiral symmetry breaking in gauge theories with nontrivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the theory and by varying the representation of the quark fields. We then consider a larged(R) expansion of the effective action, where d(R) denotes the dimension of the representation R of the quark fields. We show how our larged(R) expansion can be extended in a systematic fashion and discuss the effects of 1/d(R)corrections on the dynamics close to the finitetemperature phase boundary. Our analysis of the fixedpoint structure of the theory suggests that the order, in which the chiral and the deconfinement phase transition occur, is dictated by the representation of the quark fields and by the underlying gauge group. In particular, we find that the phase diagram in the plane spanned by the temperature and our additional control parameter exhibits an intriguing phase structure for quarks in the fundamental representation. For SU(N) gauge theories with adjoint quarks, on the other hand, the structure of this phase diagram appears to be less rich, at least in leading order in the 1/d(R)expansion.  [Show abstract] [Hide abstract]
ABSTRACT: The question of the exact nature of the phase transition in twoflavor QCD is still under discussion. Recent results for small quark masses in simulations with 2+1 flavors show scaling behavior consistent with the O(4) or O(2) universality class. For a precise determination, an assessment of deviations from the ideal scaling behavior due to finite quark masses and finite simulation volumes is necessary. We study the scaling behavior at the chiral phase transition with an effective quarkmeson model. In our Renormalization Group approach, the quark masses in the model can be varied from the chiral limit over a wide range of values, which allows us to estimate scaling deviations due to large quark masses and the extent of the scaling region. We conclude that scaling deviations are already large at pion masses of 75 MeV, but that the effect is difficult to see in the absence of results for even smaller masses. Comparing results only in a narrow window of pion masses leads to the observation of apparent scaling behavior. While the scaling deviations are not necessarily universal, we expect that this may affect current lattice simulation results. By placing the system in a finite box, we investigate the transition between infinitevolume scaling behavior and finitesize scaling. We estimate that finitesize scaling behavior can be tested in regions where pion mass times box size is approximately 2  3, which is smaller than in most current lattice simulations. We expect that finitevolume effects are small for pion masses of 75 MeV and lattice aspect ratios with TL > 8, but that they will become significant when pion masses in lattice simulations become smaller.
Publication Stats
1k  Citations  
144.43  Total Impact Points  
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Institutions

20122015

Technical University Darmstadt
 Institute of Nuclear Physics
Darmstadt, Hesse, Germany


20092011

FriedrichSchillerUniversity Jena
 Department of Theoretical Physics
Jena, Thuringia, Germany


20072010

TRIUMF
Vancouver, British Columbia, Canada
