另类弗伦克尔液体拉格朗日量

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-07-24 DOI:10.1016/j.aop.2025.170140

F.A.P. Alves-Júnior , A.S. Ribeiro , G.B. Souza , José A. Helayël-Neto

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引用次数: 0

摘要

基于Caldirola-Kanai方法，我们尝试研究闵可夫斯基时空中的耗散洛伦兹破缺标量场理论。给出了复ωμ分量的自由粒子解。我们发现了三种色散关系，其中两种支持间隙动量态。我们还提出了该模型的另一种观点，其中耗散作为几何效应，并且出现了有效的负标量曲率时空。最后，我们还说明了该模型如何适用于描述Frenkel液体中的横波及其量化过程，以便与Trachenko的原始场论进行比较。

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Alternative Frenkel liquid Lagrangian

Based on the Caldirola-Kanai approach, we endeavor to investigate a dissipative Lorentz Breaking scalar field theory in Minkowski space–time. We present its free-particle solutions for complex

ω^{μ}

components. We find three profiles of dispersion relations, two of them support gapped-momentum states. We also present an alternative view of this model, where dissipation acts as a geometric effect, and an effective negative scalar curvature space–time emerges. Finally, we also illustrate how the present model could be adapted to describe shear waves in Frenkel liquids and and its quantization process in order to compare with Trachenko’s original field theory.

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来源期刊

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.