发表机构
School of Nuclear Science and Technology, University of Chinese Academy of Sciences（中国科学院大学核科学与技术学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究构建有限温度施温格-凯尔迪什有效场论，通过近对角几何推导B型戈德斯通的贝里项，验证其与动力学KMS条件兼容，分类陪集流形张量并计算耗散下戈德斯通模的色散关系与两点关联函数。
AI 中文摘要
本研究构建了适用于B型戈德斯通模的有限温度施温格-凯尔迪什（Schwinger-Keldysh）有效场论。具体而言，我们通过近对角几何组织所需的双时间轮廓结构，其中r型场被视为物理戈德斯通构型，a型场对应切向位移。从该几何视角出发，B型戈德斯通不可或缺的贝里项可直接通过贝里曲率的推移得到。此外，我们证明该精确贝里推移与动力学KMS条件兼容。为构造保守、耗散和噪声部分，我们对陪集流形上全局定义的可能张量进行分类。基于此框架，我们详细讨论了两个具体模型实例，计算了存在耗散时戈德斯通模的色散关系及相关两点关联函数。
英文摘要
In this work, we formulate a finite temperature Schwinger-Keldysh effective field theory for type-B Goldstone modes based on geometric objects globally defined on the coset manifold. In particular, after taking the classical limit, we organize the required two time contour structure by a near-diagonal geometry in which the $r$-type field is interpreted as the physical Goldstone configuration and the $a$-type field is identified as corresponding tangent displacement. Within this geometric viewpoint, the Berry term essential for type-B Goldstones is obtained directly through the transgression of the Berry curvature. Moreover, we show that this exact Berry transgression is compatible with dynamical KMS condition. In order to construct the conservative, dissipative and noise sectors, we classify possible tensors globally defined on the coset manifold. Based on this framework, we discuss in detail two concrete model examples. The dispersion relations of the Goldstone modes and the associated two-point correlation functions are calculated in the presence of dissipation.
Comments25 pages, 1 figure
