Finite size effects in the Gross-Neveu model with isospin chemical potentialстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The properties of the two-flavored Gross-Neveu model in the (1 + 1)-dimensional R1 X S1 spacetime
with compactified space coordinate are investigated in the presence of the isospin chemical potential \mu_I .
The consideration is performed in the limit N_c >>1, i.e. in the case with infinite number of colored
quarks. It is shown that at L\to\infty(L is the length of the circumference S1) the pion condensation phase is
realized for arbitrary small nonzero \mu_I . At finite values of L, the phase portraits of the model in terms of
parameters \nu~\mu_I and \lambda~1/L are obtained both for periodic and antiperiodic boundary conditions of
the quark field. It turns out that in the plane (\lambda,\nu) there is a strip 0\le\lambda<\lambda_c which lies as a whole inside
the pion condensed phase. In this phase the pion condensation gap is an oscillating function vs both \lambda (at
fixed \nu) and \nu (at fixed \lambda).