Title: Gauge symmetry breaking in the adiabatic self-consistent collective coordinate method Show Chinese title

Title: 绝热自洽集体坐标方法中的规范对称性破缺

Abstract: We study gauge symmetry breaking by adiabatic approximation in the adiabatic self-consistent collective coordinate (ASCC) method. In the previous study, we found that the gauge symmetry of the equation of collective submanifold is (partially) broken by its decomposition into the three moving-frame equations depending on the order of $p$. In this study, we discuss the gauge symmetry breaking by the truncation of the adiabatic expansion. A particular emphasis is placed on the symmetry under the gauge transformations which are not point transformations. We also discuss a possible version of the ASCC method including the higher-order operators which can keep the gauge symmetry. Show Chinese abstract

Abstract: 我们研究了绝热自洽集体坐标(ASCC)方法中通过绝热近似实现的规范对称性破缺。在之前的研究中，我们发现集体子流形方程的规范对称性由于其分解为依赖于$p$阶数的三个移动参考系方程而部分破缺。在这项研究中，我们讨论了通过截断绝热展开导致的规范对称性破缺。特别强调了非点变换下的对称性。我们还讨论了一种可能的ASCC方法版本，其中包含能够保持规范对称性的高阶算符。