arXiv 2405.146562024-05hep-th

洛伦兹对称性破缺场景中相互作用实标量场与复标量场的真空能量密度

Vacuum energy density for interacting real and complex scalar fields in a Lorentz symmetry violation scenario

A. J. D. Farias Junior, A. Smirnov, Herondy F. Santana Mota, E. R. Bezerra de Mello

备注：: 18 pages, 6 figures, version accepted for publication in IJMPD. arXiv admin note: text overlap with arXiv:2302.14540

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AI总结：

本文在CPT偶以太型洛伦兹破缺背景下，利用有效势圈展开方法解析计算了满足周期与准周期条件的实、复标量场相互作用系统的真空能量密度、圈修正和拓扑质量，并讨论了不同真空态的稳定性条件。

摘要：

本文研究了一个实标量场与复标量场相互作用的系统中的真空能量密度及拓扑质量的产生。此外，还引入了每个场的四次自相互作用。对实场施加周期性条件，而复场则满足准周期性条件。该系统处于一个CPT偶的以太型洛伦兹对称性破缺场景中。我们允许洛伦兹破缺以不同强度影响这些场。真空能量密度、其圈修正以及拓扑质量均通过解析方法进行了计算。文中还讨论了不同真空态的可能性及其相应的稳定性要求，这些要求取决于施加在场上条件、相互作用耦合常数以及洛伦兹破缺参数。本文用于开展这项研究的形式体系是有效势方法，该方法在量子场论中通过路径积分写成圈展开的形式。

英文摘要：

In this paper the vacuum energy density and generation of topological mass are investigated for a system of a real and complex scalar fields interacting with each other. In addition to that, it is also included the quartic self-interaction for each one of the fields. The condition imposed on the real field is the periodic condition, while the complex field obey a quasi-periodic condition. The system is placed in a scenario where the CPT-even aether-type Lorentz symmetry violation takes place. We allow that the Lorentz violation affects the fields with different intensities. The vacuum energy density, its loop correction, and the topological mass are evaluated analytically. It is also discussed the possibility of different vacuum states and their corresponding stability requirements, which depends on the conditions imposed on the fields, the interaction coupling constants and also the Lorentz violation parameters. The formalism used here to perform this investigation is the effective potential one, which is written as a loop expansion via path integral in quantum field theory.

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