Domain Wall Nonlinear Quantization

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2021-12-14 DOI:10.1134/S0202289321040083

M. G. Ivanov

引用次数: 0

Abstract

Nonlinear quantization of the domain wall (relativistic membrane of codimension 1) is considered. The membrane dust equation is considered as an analogue of the Hamilton–Jacobi equation, which allows us to construct its quantum analogue. The resulting equation has the form of a nonlinear Klein–Fock–Gordon equation. It can be interpreted as the mean field approximation for a quantum domain wall. Dispersion relations are obtained for small perturbations (in a linear approximation). The group speed of perturbations does not exceed the speed of light. For perturbations propagating along the domain wall, in addition to the massless mode (as in the classical case), a massive one appears. The result may be interesting in condensed matter theory and in membrane quantization in superstring and supergravity theories.

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域壁非线性量化

考虑了域壁(协维数为1的相对论膜)的非线性量化。膜尘方程被认为是汉密尔顿-雅可比方程的类似物，这使我们能够构建其量子类似物。所得方程具有非线性Klein-Fock-Gordon方程的形式。它可以解释为量子畴壁的平均场近似。得到了小扰动的色散关系(线性近似)。微扰的群速度不超过光速。对于沿畴壁传播的扰动，除了无质量模态(如经典情况)外，还出现了一个有质量模态。这一结果在凝聚态理论、超弦和超重力理论的膜量子化中可能是有趣的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community

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