Kink solutions in nonlocal scalar field theory models

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
I. Andrade , R. Menezes , A.Yu. Petrov , P.J. Porfírio
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引用次数: 0

Abstract

In this paper, we study in detail various solutions, especially kink ones, in different nonlocal scalar field theories, whose kinetic term is described by an arbitrary non-polynomial analytic function of the d’Alembertian operator, and the potential is chosen either to be quadratic or to allow for the kink-like solution. Using the perturbative method, we find corrections of first and second orders in the nonlocality parameter around local solutions for several form factors and generate analytic expressions for the energy density up to the first order in this parameter. Additionally, we also address an inverse problem, that is, we reconstruct the potential corresponding to the given solution obtaining restrictions for the form factor.
非局部标量场理论模型中的扭结解
本文详细研究了不同非局部标量场理论中动力学项由任意非多项式d 'Alembertian算子解析函数描述的各种解,特别是扭结解,其势选择为二次或允许类扭结解。利用微扰方法,我们找到了几种形状因子局部解周围非定域性参数的一阶和二阶修正,并得到了该参数一阶以下能量密度的解析表达式。此外,我们还解决了一个逆问题,即我们重构了对应于给定解的势,获得了形状因子的限制。
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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