Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge symmetry breaking in the adiabatic self-consistent collective
  coordinate method   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.

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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con