Gravitational catalysis of chiral and color symmetry breaking of quark matter in hyperbolic spaceстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:We study the dynamical breaking of chiral and color symmetries of dense quark matter in the ultrastatic
hyperbolic spacetime R X H_3 in the framework of an extended Nambu–Jona-Lasinio model. On the basis
of analytical expressions for chiral and color condensates as functions of curvature and temperature, the
phenomenon of dimensional reduction and gravitational catalysis of symmetry breaking in strong
gravitational field is demonstrated in the regime of weak coupling constants. In the case of strong
couplings it is shown that curvature leads to small corrections to the flat-space values of condensate and
thus enhances the symmetry breaking effects. Finally, using numerical calculations phase transitions
under the influence of chemical potential and negative curvature are considered and the phase portrait of
the system is constructed.