Supersymmetric construction of self-consistent condensates in the large N Gross-Neveu model: Solitons on finite-gap potentials

被引：1

作者：

Arancibia, Adrian ^{[1
]}

机构：

[1] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

来源：

PHYSICAL REVIEW D | 2018年 / 98卷 / 06期

关键词：

FIELD-THEORY; FREE-ENERGY; SUPERCONDUCTIVITY; MATTER;

D O I：

10.1103/PhysRevD.98.065013

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In the present work, the set of stationary solutions of the Gross-Neveu model in the 't Hooft limit is extended. Such an extension is obtained by striving for a hidden supersymmetry associated with disconnected sets of stationary solutions. How the supersymmetry arises from the Darboux-Miura transformations between Lax pairs of the stationary modified Korteweg-de Vries and the stationary Korteweg-de Vries hierarchies is shown, associating the correspondent superpotentials with self-consistent condensates for the Gross-Neveu model.

引用

页数：16

共 37 条

[31] DYNAMICAL MODEL OF ELEMENTARY PARTICLES BASED ON AN ANALOGY WITH SUPERCONDUCTIVITY .1. [J].

NAMBU, Y ;

JONALASINIO, G .

PHYSICAL REVIEW, 1961, 122 (01) :345-358

[32]

Peierls R. E., 2001, Quantum Theory of Solids

[33] Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit [J].

Plyushchay, Mikhail S. ;

Arancibia, Adrian ;

Nieto, Luis-Miguel .

PHYSICAL REVIEW D, 2011, 83 (06)

[34]

Rajagopal K, 2001, AT THE FRONTIER OF PARTICLE PHYSICS, VOLS 1-3, P2062, DOI 10.1142/9789812810458_0043

[35] MULTIPOLARON SOLUTIONS OF THE GROSS-NEVEU FIELD-THEORY - TODA POTENTIAL AND DOPED POLYMERS [J].

SAXENA, A ;

BISHOP, AR .

PHYSICAL REVIEW A, 1991, 44 (04) :R2251-R2254

[36] From relativistic quantum fields to condensed matter and back again: updating the Gross-Neveu phase diagram [J].

Thies, Michael .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (41) :12707-12734

[37]

Zakharov V. E., 1971, Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, V61, P118

← 1 2 3 4 →