D. V. Vassilevich

Universidade Federal do ABC (UFABC), Santo André, São Paulo, Brazil

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Publications (134)388.98 Total impact

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    ABSTRACT: We investigate whether inclusion of dimension six terms in the Standard Model lagrangean may cause the unification of the coupling constants at a scale comprised between 10^14 and 10^17 GeV. Particular choice of the dimension 6 couplings is motivated by the spectral action. Given the theoretical and phenomenological constraints, as well as recent data on the Higgs mass, we find that the unification is indeed possible, with a lower unification scale slightly favoured.
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    M. A. Kurkov, Fedele Lizzi, Dmitri Vassilevich
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    ABSTRACT: We discuss the propagation of bosons (scalars, gauge fields and gravitons) at high energy in the context of the spectral action. Using heat kernel techniques, we find that in the high-momentum limit the quadratic part of the action does not contain positive powers of the derivatives. We interpret this as the fact that the two point Green functions vanish for nearby points, where the proximity scale is given by the inverse of the cutoff.
    Physics Letters B 12/2013; 731. DOI:10.1016/j.physletb.2014.02.053 · 6.02 Impact Factor
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    Daniel Grumiller, Mauricio Leston, Dmitri Vassilevich
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    ABSTRACT: We provide a holographic description of two-dimensional dilaton gravity with Anti-de Sitter boundary conditions. We find that the asymptotic symmetry algebra consists of a single copy of the Virasoro algebra with non-vanishing central charge and point out difficulties with the standard canonical treatment. We generalize our results to higher spin theories and thus provide the first examples of two-dimensional higher spin gravity with holographic description. For spin-3 gravity we find that the asymptotic symmetry algebra is a single copy of the W_3-algebra.
    Physical Review D 11/2013; 89(4). DOI:10.1103/PhysRevD.89.044001 · 4.86 Impact Factor
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    ABSTRACT: We consider gated graphene nanoribbons subject to Berry-Mondragon boundary conditions in the presence of weak impurities. Using field--theoretical methods, we calculate the density of charge carriers (and, thus, the quantum capacitance) as well as the optical and DC conductivities at zero temperature. We discuss in detail their dependence on the gate (chemical) potential, and reveal a non-linear behaviour induced by the quantization of the transversal momentum.
    Physics of Condensed Matter 11/2013; 87(3). DOI:10.1140/epjb/e2014-40990-x · 1.46 Impact Factor
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    D. V. Vassilevich
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    ABSTRACT: Poisson sigma models are a very rich class of two-dimensional theories that includes, in particular, all 2D dilaton gravities. By using the Hamiltonian reduction method, we show that a Poisson sigma model (with a sufficiently well-behaving Poisson tensor) on a finite cylinder is equivalent to a noncommutative quantum mechanics for the boundary data.
    Physical review D: Particles and fields 01/2013; 87(10). DOI:10.1103/PhysRevD.87.104011 · 4.86 Impact Factor
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    ABSTRACT: We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR solutions. As an example we check their consistency in conformal Chern-Simons gravity. The canonical charges are quadratic in the fields, but nonetheless integrable, conserved and finite. The asymptotic symmetry algebra consists of one copy of the Virasoro algebra with central charge c=24k, where k is the Chern-Simons level, and an affine u(1). We find also regular non-perturbative states and show that none of them corresponds to black hole solutions. We attempt to calculate the one-loop partition function, find a remarkable separation between bulk and boundary modes, but conclude that the one-loop partition function is ill-defined due to an infinite degeneracy. We comment on the most likely resolution of this degeneracy.
    Journal of High Energy Physics 12/2012; 2013(6). DOI:10.1007/JHEP06(2013)015 · 6.22 Impact Factor
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    N.shtykov, D. V.vassilevich
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    ABSTRACT: We compute the Casimir energy for a free scalar field on the spaces where is two-dimensional deformed two-sphere.
    Modern Physics Letters A 05/2012; 10(09). DOI:10.1142/S0217732395000806 · 1.34 Impact Factor
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    I. V. Fialkovsky, D. V. Vassilevich
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    ABSTRACT: We study magneto--optical properties of monolayer graphene by means of quantum field theory methods in the framework of the Dirac model. We reveal a good agreement between the Dirac model and a recent experiment on giant Faraday rotation in cyclotron resonance. We also predict other regimes when the effects are well pronounced. The general dependence of the Faraday rotation and absorption on various parameters of samples is revealed both for suspended and epitaxial graphene.
    Physics of Condensed Matter 03/2012; 85(11). DOI:10.1140/epjb/e2012-30685-9 · 1.46 Impact Factor
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    Bruno Iochum, Cyril Levy, Dmitri Vassilevich
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    ABSTRACT: The principal object in noncommutatve geometry is the spectral triple consisting of an algebra A, a Hilbert space H, and a Dirac operator D. Field theories are incorporated in this approach by the spectral action principle, that sets the field theory action to Tr f(D^2/\Lambda^2), where f is a real function such that the trace exists, and \Lambda is a cutoff scale. In the low-energy (weak-field) limit the spectral action reproduces reasonably well the known physics including the standard model. However, not much is known about the spectral action beyond the low-energy approximation. In this paper, after an extensive introduction to spectral triples and spectral actions, we study various expansions of the spectral actions (exemplified by the heat kernel). We derive the convergence criteria. For a commutative spectral triple, we compute the heat kernel on the torus up the second order in gauge connection and consider limiting cases.
    Journal of Physics A Mathematical and Theoretical 01/2012; 45(37). DOI:10.1088/1751-8113/45/37/374020 · 1.69 Impact Factor
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    D. V.vassilevich
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    ABSTRACT: It has been proposed that the Poincaré and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations and find that twisted gauge symmetries close for arbitrary gauge group. We also analyse twisted-invariant actions in noncommutative theories.
    Modern Physics Letters A 11/2011; 21(16). DOI:10.1142/S0217732306020755 · 1.34 Impact Factor
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    D. V.vassilevich
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    ABSTRACT: We compute a Chern–Simons term induced by the fermions on noncommutative torus interacting with two U(1) gauge fields. For rational noncommutativity θ∝P/Q we find a new mixed term in the action which involves only those fields which are (2π)/Q periodic, like the fields in a crystal with Q2 nodes.
    Modern Physics Letters A 11/2011; 22(17). DOI:10.1142/S0217732307023596 · 1.34 Impact Factor
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    I. V. Fialkovsky, D. V. Vassilevich
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    ABSTRACT: This is a short non-technical introduction to applications of the Quantum Field Theory methods to graphene. We derive the Dirac model from the tight binding model and describe calculations of the polarization operator (conductivity). Later on, we use this quantity to describe the Quantum Hall Effect, light absorption by graphene, the Faraday effect, and the Casimir interaction.
    International Journal of Modern Physics A 11/2011; 27(15). DOI:10.1142/S0217751X1260007X · 1.09 Impact Factor
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    B. Iochum, C. Levy, D. Vassilevich
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    ABSTRACT: The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, $p\to\infty$, the action decays as $1/p^4$ in any even dimension.
    Communications in Mathematical Physics 08/2011; DOI:10.1007/s00220-012-1587-8 · 1.90 Impact Factor
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    T. C. Adorno, D. M. Gitman, A. E. Shabad, D. V. Vassilevich
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    ABSTRACT: In a $U(1)_{\star}$-noncommutative (NC) gauge field theory we extend the Seiberg-Witten (SW) map to include the (gauge-invariance-violating) external current and formulate - to the first order in the NC parameter - gauge-covariant classical field equations. We find solutions to these equations in the vacuum and in an external magnetic field, when the 4-current is a static electric charge of a finite size $a$, restricted from below by the elementary length. We impose extra boundary conditions, which we use to rule out all singularities, $1/r$ included, from the solutions. The static charge proves to be a magnetic dipole, with its magnetic moment being inversely proportional to its size $a$. The external magnetic field modifies the long-range Coulomb field and some electromagnetic form-factors. We also analyze the ambiguity in the SW map and show that at least to the order studied here it is equivalent to the ambiguity of adding a homogeneous solution to the current-conservation equation.
    Physical review D: Particles and fields 06/2011; 84(6). DOI:10.1103/PhysRevD.84.065003 · 4.86 Impact Factor
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    T. C. Adorno, D. M. Gitman, A. E. Shabad, D. V. Vassilevich
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    ABSTRACT: It has been argued, that in noncommutative field theories sizes of physical objects cannot be taken smaller than an elementary length related to noncommutativity parameters. By gauge-covariantly extending field equations of noncommutative U(1)_*-theory to the presence of external sources, we find electric and magnetic fields produces by an extended charge. We find that such a charge, apart from being an ordinary electric monopole, is also a magnetic dipole. By writing off the existing experimental clearance in the value of the lepton magnetic moments for the present effect, we get the bound on noncommutativity at the level of 10^4 TeV.
    Physical review D: Particles and fields 04/2011; 84(8). DOI:10.1103/PhysRevD.84.085031 · 4.86 Impact Factor
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    ABSTRACT: The graviton 1-loop partition function is calculated for Euclidean generalised massive gravity (GMG) using AdS heat kernel techniques. We find that the results fit perfectly into the AdS/(L)CFT picture. Conformal Chern-Simons gravity, a singular limit of GMG, leads to an additional contribution in the 1-loop determinant from the conformal ghost. We show that this contribution has a nice interpretation on the conformal field theory side in terms of a semi-classical null vector at level two descending from a primary with conformal weights (3/2,-1/2).
    Journal of High Energy Physics 03/2011; 2011(6). DOI:10.1007/JHEP06(2011)111 · 6.22 Impact Factor
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    Ignat V. Fialkovsky, Valery N. Marachevsky, Dmitri V. Vassilevich
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    ABSTRACT: We adopt the Dirac model for quasiparticles in graphene and calculate the finite temperature Casimir interaction between a suspended graphene layer and a parallel conducting surface. We find that at high temperature the Casimir interaction in such system is just one half of that for two ideal conductors separated by the same distance. In this limit single graphene layer behaves exactly as a Drude metal. In particular, the contribution of the TE mode is suppressed, while one of the TM mode saturates the ideal metal value. Behaviour of the Casimir interaction for intermediate temperatures and separations accessible for an experiment is studied in some detail. We also find an interesting interplay between two fundamental constants of graphene physics: the fine structure constant and the Fermi velocity.
    Physical review. B, Condensed matter 02/2011; 84. DOI:10.1103/PhysRevB.84.035446 · 3.66 Impact Factor
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    Dmitri Vassilevich
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    ABSTRACT: We give a nontechnical introduction to the problem of non-uniqueness of star products and describe a covariant resolution of this problem. Some implications (e.g., for noncommutative gravity) and further prospects are discussed.
  • Dmitri Fursaev, Dmitri Vassilevich
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    ABSTRACT: This book represents an introduction into the theory of spectral functions and their applications to quantum field theory (QFT). The exposition of the main mathematical methods is very detailed. Many examples, from different fields, are given (e.g. finite temperature field theory, anomalies, quantum solitons, noncommutative field theories), and in each case it is shown how the use of general methods allow to obtain interesting and important results in an elegant manner. Moreover, more than a hundred exercises with their solutions help the reader to understand better the topic and make possible the use of this book in lecture courses on physical applications of spectral theory. The book is organized in four parts. In the first part, several basic notions in differential geometry are presented, as well as a systematic discussion of QFT. A specific inner product is introduced, and quantization conditions are defined based on it. This method of quantization allows the authors to arrive faster at the results in the lowest order of the perturbation theory on non-trivial background. Part II is devoted to the spectral geometry. Chapter 3 explains some properties of linear operators, since they are related to classical field equations. In Chapter 4, the heat equation is studied, namely the heat kernel, asymptotics of the heat kernel, the DeWitt approach (a method of evaluating the heat trace asymptotics based on recursion relations between the heat kernel coefficients), and the Gilkey approach (the most powerful and the most general method). Chapter 5 contains definitions of the main spectral functions, presents their properties and methods of computations. Zeta-functions and determinants of differential operators are defined. Transformations of determinants of Laplace type operators under variations of background field are presented, since they will serve later as a basis for calculations of quantum anomalies. Chapter 6 deals with non-linear spectral problems. Part III contains applications to various problems in physics. Chapter 7 is an introduction to the method of effective action, and it is shown how the effective action can be calculated in terms of spectral functions. Spectral geometry methods are used to reproduce a number of known QFT results which are derived usually with the help of Feynman diagrams. Among them are the one-loop effective potential and beta functions in gauge theories. Chapter 8 is devoted to quantum anomalies. In Chapter 9, the authors discuss the methods of calculations of the vacuum energy, with the quantum correction to the kink mass being the principal example. Chapter 10 presents boundary effects in a model of quantized extended one-dimensional objects. Strings have very interesting properties and the authors derive the Born-Infeld action for open strings. The last chapter is devoted to spectral geometry and field theory on noncommutative manifolds, which are studied by using the same universal tools. Noncommutative theories are a beautiful example of how physics and mathematics have a mutual influence. Each chapter contains exercises, which are an integral part of the book. Their solutions can be found in Part IV.
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    ABSTRACT: Thegraviton1-loop partition function in Euclidean topologically massivegravity (TMG) is calculated using heat kernel techniques. The partition function does not factorize holomorphically, and at the chiral point it has the structure expected from a logarithmic conformal field theory. This gives strong evidence for the proposal that the dual conformal field theory to TMG at the chiral point is indeed logarithmic. We also generalize our results to new massive gravity. KeywordsAdS-CFT Correspondence-Field Theories in Lower Dimensions-Models of Quantum Gravity-Chern-Simons Theories
    Journal of High Energy Physics 11/2010; 2010(11):1-18. DOI:10.1007/JHEP11(2010)094 · 6.22 Impact Factor

Publication Stats

3k Citations
388.98 Total Impact Points

Institutions

  • 2009–2014
    • Universidade Federal do ABC (UFABC)
      Santo André, São Paulo, Brazil
  • 2013
    • Universidade Federal de São Paulo
      San Paulo, São Paulo, Brazil
  • 2012
    • Universität Potsdam
      Potsdam, Brandenburg, Germany
  • 1992–2009
    • Saint Petersburg State University
      Sankt-Peterburg, St.-Petersburg, Russia
  • 2008
    • University of São Paulo
      • São Carlos Institute of Physics
      San Paulo, São Paulo, Brazil
  • 2007
    • Dnepropetrovsk National University
      Yekaterinoslav, Dnipropetrovs'ka Oblast', Ukraine
  • 1998–2007
    • University of Leipzig
      • Institute of Theoretical Physics
      Leipzig, Saxony, Germany
  • 2003
    • Kaliningrad State University
      Królewiec, Kaliningrad, Russia
  • 2002–2003
    • Max Planck Institute for Mathematics in the Sciences
      Leipzig, Saxony, Germany
    • Max Planck Institute for Mathematics
      Bonn, North Rhine-Westphalia, Germany
  • 1996–1997
    • Vienna University of Technology
      • Institute of Theoretical Physics
      Wien, Vienna, Austria
  • 1992–1994
    • Abdus Salam International Centre for Theoretical Physics
      Trst, Friuli Venezia Giulia, Italy
  • 1989–1991
    • Leningrad State University
      Sankt-Peterburg, St.-Petersburg, Russia