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Universidade Federal do ABC (UFABC). Centro de Matemática, Computação e Cognição (CMCC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Dmitry Vasilevich in research grants and scholarships supported by FAPESP.
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This project is dedicated to various aspects of Quantum Field Theory (QFT) in the presence of background fields and/or boundaries, as well as in curved spacetime. The main focus of this project is on applications to the so-called Dirac materials which include graphene, topological insulators, Weyl and Dirac semimetals. In these materials, the dynamics of quasiparticles is governed by quas…
A good part of the progress achieved in condensed matter physics over the recent years is related to the so called Dirac materiais. In these materiais, the quasiparticles obey the Dirac equation. Graphene, topological insulators and Weyl semimetals are the most prominent examples of this c1ass. Quantum Field Theory (QFT) is a natural instrument to study the properties of these materiais. …
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 …
We shall study different ways to break fundamental and medium-induced Lorentz and parity symmetries spontaneously and manifestly in bounded space-time regions. We shall use and develop the spectral geometry methods. Applications include particle physics and the physics of graphene. (AU)
(Only some records are available in English at this moment)
The general area of this project is Quantum Field Theory on non-trivial backgrounds with special emphasis on quantum anomalies and Casimir effect in Dirac materials, and on low-dimensional holography. It is assumed that the candidate will dedicate certain fraction of time to the study of other topics of the parent Thematic Project or in closely related areas of his or her choice. (AU)
Quantum anomalies play an important role in the physics of Dirac materials. For example, they describe the anomalous Hall conductivity in such materials. Being motivated by recent discoveries on the non-hermiticity effects in condensed matter systems, we propose to study the parity anomaly for non-hermitian Dirac operators for planar fermions. The calculations will be done evaluating the …
The main purpose of this project is to obtain relations between anomalies on manifolds with boundaries and anomalies in effective boundary theories with the use of heat kernel methods. The applications include the Jackiw--Rebbi fermion number fractionization, topological phases of quantum matter, and boundary anomalies in holographic theories. (AU)
In mathematics, there is a strange identity: 1+1+1+... = - 1/2. The study of this identity will bring us to the world of zeta functions and renormalization of quantum field theories. (AU)
The search for a consistent Gauge theory in Non-Commmutative (NC) is a longstanding problem with various solutions, non of them free from critisism. These theories break the Leibniz rule when using a non-constant NC parameter, Gribov copies appear induced by the non-commutativity of the space-time in the Landau Gauge and UV/IR mixing causes divergences on the NC Moyal plane. We propose th…
The spectral action principle allows unification of gravity with other fundamental interaction. We propose to study the aspects of spectral action and other spectral apporaches related to the gravity. We shall study the ultaviolet regime of the action and look for pheneomenological and cosmological consquences.
(Only some records are available in English at this moment)
We'll calculate 1-loop partition functions of gravitation models using Heat Kernel expansion techniques, that should be compared to known partition functions of conformal theories on the boundary. This analysis should shed light upon the AdS/CFT conjecture of these theories. (AU)
| 1 / 1 | Ongoing grants |
| 8 / 8 | Completed research grants |
| 3 / 3 | Ongoing scholarships in Brazil |
| 6 / 5 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 19 / 18 | All research grants and scholarships |
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