Self-dual sectors for scalar field theories in (1+1) dimensions

被引：20

作者：

Ferreira, L. A. ^{[1
]}

Klimas, P. ^{[2
]}

Zakrzewski, Wojtek J. ^{[3
]}

机构：

[1] Univ Sao Paulo, IFSC USP, Inst Fis Sao Carlos, Caixa Postal 369, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Fed Santa Catarina, BR-88040900 Florianopolis, SC, Brazil

[3] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 2019卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Integrable Field Theories; Integrable Hierarchies; Solitons Monopoles and Instantons; SOLITONS;

D O I：

10.1007/JHEP01(2019)020

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We use ideas of generalized self-duality conditions to construct real scalar field theories in (1 + 1)-dimensions with exact self dual sectors. The approach is based on a pre-potential U that defines the topological charge and the potential energy of these theories. In our algebraic method to construct the required pre-potentials we use the representation theory of Lie groups. This approach leads naturally to an infinite set of degenerate vacua and so to topologically non-trivial self-dual solutions of these models. We present explicit examples for the groups SU(2), SU(3) and SO(5) and discuss some properties of these solutions.

引用

页数：38

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