Renormalization Theory of Spinor Bose–Einstein-Condensed Systems

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2023-08-21 DOI:10.1007/s10773-023-05442-5

Won-Ju Choe, Sung-Gyu Pak, Jun-Gyu Pak, Jong-Yon Kim

引用次数: 0

Abstract

We present a removal of the infrared divergences in the Beliaev-Dyson equation for spin-1 spinor Bose–Einstein-condensed systems. Unlike the Beliaev-Dyson equations for spin-0 Bose–Einstein-condensates, the Beliaev-Dyson equations for spin-1 spinor Bose–Einstein-condensates are given as \(6\times 6\) matrix elements. The divergent terms remaining in a ferromagnetic phase and a polar phase are contained identically in some elements of self-energy matrix. Based on experiences removing infrared divergences in spin-0 Bose–Einstein-condensates and identity of divergent terms, we remove the infrared divergences in Beliaev-Dyson equation for spinor Bose–Einstein-condensed systems.

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自旋玻色-爱因斯坦凝聚系统的重整化理论

我们提出了去除自旋-1旋子玻色-爱因斯坦凝聚系统的Beliaev-Dyson方程中的红外发散。与自旋为0的玻色-爱因斯坦凝聚体的Beliaev-Dyson方程不同，自旋为1的玻色-爱因斯坦凝聚体的Beliaev-Dyson方程以\(6\times 6\)矩阵元素给出。在自能矩阵的某些元素中，保留在铁磁相和极性相中的发散项是相同的。根据消去自旋为0的玻色-爱因斯坦凝聚体红外散度的经验和发散项的同一性，我们消去了自旋玻色-爱因斯坦凝聚体belief - dyson方程中的红外散度。

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

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.