Duality study of the chiral Heisenberg-Gross-Neveu model in 1+1 dimensions

被引：9

作者：

Thies, Michael ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Theoret Phys, D-91058 Erlangen, Germany

来源：

PHYSICAL REVIEW D | 2020年 / 102卷 / 09期

关键词：

SEMICLASSICAL BOUND-STATES; DYNAMICAL MODEL; LARGE-N; ANALOGY;

D O I：

10.1103/PhysRevD.102.096006

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider a version of the Gross-Neveu model in 1 + 1 dimensions with discrete chiral and continuous flavor symmetry (isospin). In 2 + 1 dimensions, this model is known as the chiral Heisenberg-Gross-Neveu model. Spontaneous symmetry breaking and the emergence of two massless and one massive scalar bosons are shown. A duality to the Nambu-Jona-Lasinio model with isospin is exhibited, provided that the isovector pseudoscalar mean field is constrained to a plane in isospin space. This enables us to find the phase diagram as a function of temperature, chemical potential, and isospin chemical potential as well as twisted kinks. A bare mass term acts quite differently when added to this model as compared to other chiral variants of the Gross-Neveu model.

引用

页数：9

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