Zobrazeno 1 - 10
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pro vyhledávání: '"V. E. Rochev"'
Autor:
V. E. Rochev
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 78, Iss 11, Pp 1-7 (2018)
Abstract The leading-order equations of the $$1/N$$ 1/N – expansion for a vector-matrix model with interaction $$g\phi _a^*\phi _b\chi _{ab}$$ gϕa∗ϕbχab in four dimensions are investigated. This investigation shows a change of the asymptotic b
Externí odkaz:
https://doaj.org/article/0164756b7e3540b3a95b6113deec48e3
Autor:
V. E. Rochev
Publikováno v:
Physics of Atomic Nuclei. 78:443-446
A system of Schwinger-Dyson equations for the model of scalar-field interaction is studied in a deep Euclidean region. It is shown that there exists a critical coupling constant that separates the weak-coupling region characterized by the asymptotica
Autor:
R. G. Jafarov, V. E. Rochev
Publikováno v:
Ядерная физика. 76:1208-1215
In this paper we present our results of the investigation of multiquark equations in the Nambu-Jona-Lasinio model with chiral symmetry of SU(2) group in the mean-field expansion. To formulate the mean-field expansion we have used an iteration scheme
Autor:
V. E. Rochev
Publikováno v:
International Journal of Modern Physics: Conference Series. 47:1860095
The solution of the equation for the phion propagator in the leading order of the $1/N$ -- expansion for a vector-matrix model with interaction $g(\phi_a)^*\phi_b\chi_{ab}$ in four dimensions shows a change of the asymptotic behavior in the deep Eucl
Autor:
V. E. Rochev
Publikováno v:
Theoretical and Mathematical Physics. 159:488-498
We discuss the problem of calculating corrections to the mean-field approximation in the Nambu-Jona-Lasinio model. To calculate such corrections, we propose using the method of the Legendre transformation with respect to a bilocal source, which allow
Autor:
P. A. Saponov, V. E. Rochev
Publikováno v:
International Journal of Modern Physics A. 13:3649-3665
A new nonperturbative approach is used to investigate the Gross-Neveu model of four fermion interaction in the space-time dimensions 2, 3 and 4, the number $N$ of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is sh
Autor:
V. E. Rochev
A system of Schwinger-Dyson equations for pseudoscalar four-dimensional Yukawa model in the two-particle approximation is investigated. The simplest iterative solution of the system corresponds to the mean-field approximation (or, equivalently, to th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09df9de8792ecf237d453a9c64374f21
Autor:
V. E. Rochev
An asymptotic solution of the system of Schwinger-Dyson equations for four-dimensional Euclidean scalar field theory with interaction $\frac{\lambda}{2}(\phi^*\phi)^2$ is obtained. For $\lambda>\lambda_{cr}=16\pi^2$ the two-particle amplitude has the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d46333113bcda79c7e43cbdb565d017
http://arxiv.org/abs/1102.4939
http://arxiv.org/abs/1102.4939
Autor:
V. E. Rochev
Publikováno v:
Il Nuovo Cimento A. 106:525-539
The kinetic expansion is the expansion in the degrees of the kinetic term % MathType!MTEF!2!1!+-% feaafiart1ev1aaatuuDJXwAK1uy0Hwmaerbfv3ySLgzG0uy0Hgip5% wzamXvP5wqonvsaeHbfv3ySLgzaeXatLxBI9gBamXvP5wqSXMqHnxA% Jn0BKvguHDwzZbqehqvATv2CG4uz3bIuV1wyUbqe
Autor:
V E Rochev
Publikováno v:
Journal of Physics A: Mathematical and General. 26:1235-1247
The strong coupling expansion (SCE) for the generating functional of the Green functions in the ( phi * phi )d2 model is investigated by the method of Schwinger equations. No lattices are used. The problem of boundary conditions is discussed. The exa