Symmetry in Quantum Field Theory, Critical Behavior Theory and Stochastic Dynamics

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 March 2023) | Viewed by 2032

Special Issue Editors


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Guest Editor
Moscow Institute of Physics and Technology (MIPT), Moscow, Russia; Steklov Mathematical Institute of Russian Academy o Science, Moscow State University (MSU), Moscow, Russia
Interests: Infinite-dimensional analysis, differential equations, dynamical systems, quantum mechanics

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Guest Editor
Department of Higher Mathematics and Department of Theoretical Physics, Moscow Institute of Physics and Technology (MIPT), Institutskiy Pereulok 9, 141701 Dolgoprudny, Moscow Region, Russia
Interests: QFT, Nonpolynomial QFT, Euclidean QFT, Scalar QFT, Nonlocal QFT in Abstract Spacetime, S-matrix and Form Factors in QFT; Stochastic Partial Differential Equations (SPDEs), Stochastic Field Theory; Abstract (Formal) Functional (Path) Integral, Basis Functions Representation; Functional Methods in QFT and Statistical Physics, Generating Functionals, Functional Schwinger–Dyson, Schrodinger (Tomonaga–Schwinger) and Hamilton–Jacobi Equations; Functional and Holographic Renormalization Group Methods (FRG and HRG); Statistical Physics, Grand Canonical Partition Function

Special Issue Information

Dear Colleagues,

Quantum field theory (QFT) is the first physical implementation of random field theory. For this reason, QFT methods are widely used in various branches of theoretical and mathematical physics, such as stochastic quantization and stochastic partial differential equations (specific types of Euclidean QFT), as well as theory of critical phenomena, stochastic theory of turbulence, effective (nonlocal) field theories in nuclear physics (virton-quark model), and Euclidean (nonpolynomial) field theories (statistical physics models). The functional renormalization group method, which originated in Euclidean QFT, is also widely used in various branches of physics. Finally, QFT itself contains many interesting areas of research, namely: quantum electrodynamics, quantum chromodynamics, integrable models, conformal field theory, noncommutative field theory, quantum fields in curved spacetime, etc. For this reason, the Special Issue is devoted to a wide range of QFT problems and QFT methods. 

Prof. Dr. Vsevolod Zhanovich Sakbaev
Prof. Dr. Stanislav L. Ogarkov
Guest Editors

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Published Papers (1 paper)

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Review

53 pages, 2604 KiB  
Review
Low-Energy Interactions of Mesons with Participation of the First Radially Excited States in U(3) × U(3) NJL Model
by Mikhail Konstantinovich Volkov, Aleksey Aleksandrovich Pivovarov and Kanat Nurlan
Symmetry 2022, 14(2), 308; https://doi.org/10.3390/sym14020308 - 02 Feb 2022
Cited by 11 | Viewed by 1913
Abstract
The U(3)×U(3) chiral symmetric NJL model describing pseudoscalar, vector, and axial-vector mesons in both the ground state and first radially excited states is shortly presented in this review. In this model, it is possible to [...] Read more.
The U(3)×U(3) chiral symmetric NJL model describing pseudoscalar, vector, and axial-vector mesons in both the ground state and first radially excited states is shortly presented in this review. In this model, it is possible to describe a large number of low-energy interactions of mesons, τ lepton decays into mesons, and processes of meson production in electron–positron annihilations in satisfactory agreement with the experiments. In describing a number of processes, it turned out to be necessary to take into account the interactions of mesons in the final state. Full article
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