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Non perturbative methods in quantum theory and QFT and their application to actual physical problems

Grant number: 16/03319-6
Support type:Research Projects - Thematic Grants
Duration: December 01, 2016 - November 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Dmitri Maximovitch Guitman
Grantee:Dmitri Maximovitch Guitman
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Co-Principal Investigators:Dmitry Vasilevich
Assoc. researchers:Nail Khusnutdinov ; Rodrigo Fresneda
Associated grant(s):19/16495-5 - 7th International Workshop on new challenges in quantum mechanics: integrability and supersymmetry, AR.EXT
19/06033-4 - 10th Alexander Friedmann International Seminar on Gravitation and Cosmology and fourth symposium on the Casimir Effect, AR.EXT
17/13415-5 - XXVI International Fall Workshop on Geometry and Physics, AR.EXT
Associated scholarship(s):18/12199-0 - Scalar field dynamics in Schwarzschild-anti de Sitter geometry, BP.IC
18/02474-3 - The pseudoclassical mechanics of the chiral magnetic effect, BP.IC
17/05734-3 - Methods of one-loop in quantum field theory with strong background fields that violate vacuum stability, BP.PD

Abstract

The aim of the project is two-fold. We shall develop the methods of quantum theory and also apply these methods to some interesting problems of modern physics. A considerable part of the project is dedicated to non perturbative quantum electrodynamics. The cases of strong external field and of non-linear quantum theory will be treated in detail. The prominent place occupied by this topic is related to its' role in the front-line physics research including the physics of dense stars and hadronic matter, as well as the physics of graphene. The physics of new materials - graphene, topological insulators and Weyl semimetals - is considered in separate Chapter in this project. The spectrum of excitations in these materials is described by the Dirac equation, which makes Quantum Field Theory the most adequate theoretical tool and connects this research to other parts of the project. Most of our calculations here (the Casimir effect, optical properties, conductivity) will admit immediate experimental verification. The holographic principle has less connections with the current experiments, but no less interesting. Though this principle was suggested in String Theory, our consideration has a broader context. We shall analyze many, mostly low-dimensional, holographic models and check their consistency. The practical tool here is non-perturbative (in the AdS radius) calculations in QFT, similar to the rest of the project. The part related to noncommutative geometry is on the cross-road with pure mathematics: we shall use the advances in mathematics (as the deformation quantization and formality) to address physics problems and utilize the QFT techniques for the purposes of mathematics. (AU)

Scientific publications (31)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
KURKOV, MAXIM; VASSILEVICH, DMITRI. How Many Surface Modes Does One See on the Boundary of a Dirac Material?. Physical Review Letters, v. 124, n. 17 APR 29 2020. Web of Science Citations: 0.
AFSHAR, HAMID; GONZALEZ, HERNAN A.; GRUMILLER, DANIEL; VASSILEVICH, DMITRI. Flat space holography and the complex Sachdev-Ye-Kitaev model. Physical Review D, v. 101, n. 8 APR 24 2020. Web of Science Citations: 0.
ADORNO, T. C.; GITMAN, D. M.; SHABAD, A. E. Magnetic response from constant backgrounds to Coulomb sources. EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 4 APR 7 2020. Web of Science Citations: 0.
EMELIANOVA, N.; FIALKOVSKY, V, I.; KHUSNUTDINOV, N. Casimir effect for biaxial anisotropic plates with surface conductivity. MODERN PHYSICS LETTERS A, v. 35, n. 3, SI JAN 30 2020. Web of Science Citations: 0.
VASSILEVICH, DMITRI. On the (im)possibility of Casimir repulsion between Chern-Simons surfaces. MODERN PHYSICS LETTERS A, v. 35, n. 3, SI JAN 30 2020. Web of Science Citations: 0.
FONTANA, W. B.; BALDIOTTI, M. C.; FRESNEDA, R.; MOLINA, C. Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes. ANNALS OF PHYSICS, v. 411, DEC 2019. Web of Science Citations: 0.
MATEOS GUILARTE, J.; VASSILEVICH, D. Fractional fermion number and Hall conductivity of domain walls. Physics Letters B, v. 797, OCT 10 2019. Web of Science Citations: 0.
FIALKOVSKY, I.; KURKOV, M.; VASSILEVICH, D. Quantum Dirac fermions in a half-space and their interaction with an electromagnetic field. Physical Review D, v. 100, n. 4 AUG 28 2019. Web of Science Citations: 0.
KHUSNUTDINOV, N.; WOODS, L. M. Casimir Effects in 2D Dirac Materials (Scientific Summary). JETP LETTERS, v. 110, n. 3, p. 183-192, AUG 2019. Web of Science Citations: 0.
ALONSO-IZQUIERDO, A.; FRESNEDA, RODRIGO; MATEOS GUILARTE, J.; VASSILEVICH, D. Soliton fermionic number from the heat kernel expansion. EUROPEAN PHYSICAL JOURNAL C, v. 79, n. 6 JUN 20 2019. Web of Science Citations: 1.
GAVRILOV, S. P.; GITMAN, D. M.; SHISHMAREV, A. A. Pair production from the vacuum by a weakly inhomogeneous space-dependent electric potential. Physical Review D, v. 99, n. 11 JUN 19 2019. Web of Science Citations: 1.
GAVRILOV, S. P.; GITMAN, D. M.; SHISHMAREV, A. A. States of charged quantum fields and their statistical properties in the presence of critical potential steps. Physical Review A, v. 99, n. 5 MAY 20 2019. Web of Science Citations: 0.
MARKOV, YU. A.; MARKOVA, M. A.; GITMAN, D. M.; BONDARENKO, A. I. PARASTATISTICS AND UNIQUANTIZATION. Russian Physics Journal, v. 61, n. 10, p. 1806-1818, FEB 2019. Web of Science Citations: 0.
KHUSNUTDINOV, N.; EMELIANOVA, N. Low-temperature expansion of the Casimir-Polder free energy for an atom interacting with a conductive plane. International Journal of Modern Physics A, v. 34, n. 2 JAN 20 2019. Web of Science Citations: 1.
ADORNO, T. C.; GAVRILOV, S. P.; GITMAN, D. M. Violation of vacuum stability by inverse square electric fields. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 12 DEC 18 2018. Web of Science Citations: 0.
CARDENAS, MARCELA; FUENTEALBA, OSCAR; GONZALEZ, HERNAN A.; GRUMILLER, DANIEL; VALCARCEL, CARLOS; VASSILEVICH, DMITRI. Boundary theories for dilaton supergravity in 2D. Journal of High Energy Physics, n. 11 NOV 13 2018. Web of Science Citations: 4.
VASSILEVICH, DMITRI; COSTA OLIVEIRA, FERNANDO MARTINS. Nearly associative deformation quantization. LETTERS IN MATHEMATICAL PHYSICS, v. 108, n. 10, p. 2293-2301, OCT 2018. Web of Science Citations: 1.
MARKOV, YU. A.; MARKOVA, M. A.; GITMAN, D. M. Unitary Quantization and Para-Fermi Statistics of Order 2. JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, v. 127, n. 3, p. 398-421, SEP 2018. Web of Science Citations: 0.
GITMAN, D. M.; MEIRELES, M. S.; LEVIN, A. D.; SHISHMAREV, A. A.; CASTRO, R. A. Entanglement in composite systems due to external influences. International Journal of Modern Physics A, v. 33, n. 21 JUL 30 2018. Web of Science Citations: 0.
VASSILEVICH, DMITRI. Index theorems and domain walls. Journal of High Energy Physics, n. 7 JUL 16 2018. Web of Science Citations: 2.
KHUSNUTDINOV, NAIL; KASHAPOV, RASHID; WOODS, LILIA M. Thermal Casimir and Casimir-Polder interactions in N parallel 2D Dirac materials. 2D MATERIALS, v. 5, n. 3 JUL 2018. Web of Science Citations: 4.
FRESNEDA, RODRIGO; GAZEAU, JEAN PIERRE; NOGUERA, DIEGO. Quantum localisation on the circle. Journal of Mathematical Physics, v. 59, n. 5 MAY 2018. Web of Science Citations: 2.
FIALKOVSKY, IGNAT; KHUSNUTDINOV, NAIL; VASSILEVICH, DMITRI. Quest for Casimir repulsion between Chern-Simons surfaces. Physical Review B, v. 97, n. 16 APR 24 2018. Web of Science Citations: 6.
ADORNO, T. C.; FERREIRA, R.; GAVRILOV, S. P.; GITMAN, D. M. Role of switching-on and -off effects in the vacuum instability. International Journal of Modern Physics A, v. 33, n. 11 APR 20 2018. Web of Science Citations: 3.
KURKOV, MAXIM; VASSILEVICH, DMITRI. Gravitational parity anomaly with and without boundaries. Journal of High Energy Physics, n. 3 MAR 13 2018. Web of Science Citations: 17.
GRUMILLER, DANIEL; MCNEES, ROBERT; SALZER, JAKOB; VALCARCEL, CARLOS; VASSILEVICH, DMITRI. Menagerie of AdS(2) boundary conditions. Journal of High Energy Physics, n. 10 OCT 30 2017. Web of Science Citations: 19.
KHODAEE, SADI; VASSILEVICH, DMITRI. Note on correlation functions in conformal quantum mechanics. MODERN PHYSICS LETTERS A, v. 32, n. 29 SEP 21 2017. Web of Science Citations: 1.
BORDAG, M.; FIALKOVSKY, I.; VASSILEVICH, D. Casimir interaction of strained graphene. Physics Letters A, v. 381, n. 30, p. 2439-2443, AUG 13 2017. Web of Science Citations: 5.
ASSIRATI, J. L. M.; GITMAN, D. M. Covariant quantizations in plane and curved spaces. EUROPEAN PHYSICAL JOURNAL C, v. 77, n. 7 JUL 17 2017. Web of Science Citations: 2.
KURKOV, M.; VASSILEVICH, D. Parity anomaly in four dimensions. Physical Review D, v. 96, n. 2 JUL 14 2017. Web of Science Citations: 17.
GAVRILOV, S. P.; GITMAN, D. M. Vacuum instability in slowly varying electric fields. Physical Review D, v. 95, n. 7 APR 21 2017. Web of Science Citations: 6.

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