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Problems in quantum mechanics and quantum field theory with strong backgrounds and in noncommutative spacetimes

Grant number: 12/00333-7
Support type:Research Projects - Thematic Grants
Duration: August 01, 2012 - July 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
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:Rodrigo Fresneda ; Serguei Gavrilov
Associated grant(s):14/23772-1 - Parity and Lorentz violation, boundary phenomena and spectral geometry, AV.EXT
14/13737-4 - New problems in quantum theory of synchrotron radiation: applications of quantum analogues of Líenard-Wiechert potentials to radiation analysis, AV.EXT
14/08970-1 - Nonlinear effects in basic problems of quantum electrodynamics, AV.EXT
13/13967-7 - Holography at low dimensions, AV.EXT
13/07116-4 - Progress of the quantum field theory with non homogeneous strong fields and applications to the high energy physics, astrophysics and condensed matter physics, AV.EXT
Associated scholarship(s):15/05120-0 - Spectral geometry and gravity, BP.PD
12/23520-7 - Spectral action principle: beyond the weak field approximation, BP.PD
13/02966-0 - Quantum motion of charge in electromagnetic fields in probability representation and corresponding coherent states, BP.DD


The present project encompasses several topics in quantum mechanics and quantum field theory (QFT) with strong backgrounds and in noncommutative spacetimes. We will study creation of particles from vacuum by strong constant and non-homogeneous electric fields, including one-loop effects and backreaction on the surface of a quark star, as well as neutral particle creation with anomalous magnetic-moment in strong non-uniform magnetic fields. We will consider physical effects in classical field theory and QFT due to spacetime noncommutativity, in particular photon dispersion, birrefringence and splitting in noncommutative quantum electrodynamics. We will study noncommutative geometry in QFT, and QFT with boundaries with applications to the Casimir effect. We will also study collective excitations of neutrinos from the point of view of QFT with strong backgrounds and neutrino creation from external fields. We will investigate QFT applications to graphene physics using our experience with exact solutions of the Dirac model in external fields. We will continue the study of quantum effects of synchroton radiation. Through the development of semiclassical methods, we intend to formulate a new approach towards the construction of coherent states for systems with a continuous energy spectrum and its application to quantization. Finally, we will develop applications of the method of Man'ko's probability representation, which has attracted a lot of attention in semiclassical techniques for the problem of the motion of a charge in a electromagnetic fields. (AU)

Scientific publications (6)
(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)
GRUMILLER, D.; SALZER, J.; VASSILEVICH, D. ASPECTS OF AdS(2) HOLOGRAPHY WITH NON-CONSTANT DILATON. Russian Physics Journal, v. 59, n. 11, p. 1798-1803, MAR 2017. Web of Science Citations: 6.
D'ASCANIO, D.; PISANI, P.; VASSILEVICH, D. V. Renormalization on noncommutative torus. EUROPEAN PHYSICAL JOURNAL C, v. 76, n. 4 APR 1 2016. Web of Science Citations: 6.
GRUMILLER, DANIEL; SALZER, JAKOB; VASSILEVICH, DMITRI. AdS(2) holography is (non-)trivial for (non-)constant dilaton. Journal of High Energy Physics, n. 12 DEC 2 2015. Web of Science Citations: 7.
VASSILEVICH, DMITRI. Spectral geometry of symplectic spinors. Journal of Mathematical Physics, v. 56, n. 10 OCT 2015. Web of Science Citations: 0.
KUPRIYANOV, V. G.; VASSILEVICH, D. V. Nonassociative Weyl star products. Journal of High Energy Physics, n. 9 SEP 16 2015. Web of Science Citations: 15.
GRUMILLER, DANIEL; LESTON, MAURICIO; VASSILEVICH, DMITRI. Anti-de Sitter holography for gravity and higher spin theories in two dimensions. Physical Review D, v. 89, n. 4 FEB 5 2014. Web of Science Citations: 10.

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