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Труды Математического института имени В. А. Стеклова, 2011, том 272, страницы 97–116
(Mi tm3260)
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Dynamical symmetry breaking in hyperbolic 4D spacetime and in extra dimensions
D. Ebertab, A. V. Tyukovc, V. Ch. Zhukovskyc a Joint Institute for Nuclear Research, Dubna, Moscow region, Russia
b Institut für Physik, Humboldt-Universität zu Berlin, Berlin, Germany
c Department of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, Russia
Аннотация:
We study the dynamical symmetry breaking in quark matter within two different models. First, we consider the effect of gravitational catalysis of chiral and color symmetries breaking in strong gravitational field of ultrastatic hyperbolic spacetime $\mathbb R\otimes H^3$ in the framework of an extended Nambu–Jona-Lasinio model. Second, we discuss the dynamical fermion mass generation in the flat 4-dimensional brane situated in the 5D spacetime with one extra dimension compactified on a circle. In the model, bulk fermions interact with fermions on the brane in the presence of a constant abelian gauge field $A_5$ in the bulk. The influence of the $A_5$-gauge field on the symmetry breaking is considered both when this field is a background parameter and a dynamical variable.
Поступило в июле 2010 г.
Образец цитирования:
D. Ebert, A. V. Tyukov, V. Ch. Zhukovsky, “Dynamical symmetry breaking in hyperbolic 4D spacetime and in extra dimensions”, Проблемы современной теоретической и математической физики. Калибровочные теории и суперструны, Сборник статей. К 70-летию со дня рождения академика Андрея Алексеевича Славнова, Труды МИАН, 272, МАИК «Наука/Интерпериодика», М., 2011, 97–116; Proc. Steklov Inst. Math., 272 (2011), 88–106
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tm3260 https://www.mathnet.ru/rus/tm/v272/p97
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