Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proving the Low Energy Theorem of Hidden Local Symmetry   Based on the Ward-Takahashi identity for the BRS symmetry, we prove to all
orders of the loop expansion the low energy theorem of hidden local symmetry
for the vector mesons (KSRF (I) relation) in the $U(N)_{\rm L}$ $\times$
$U(N)_{\rm R}$ / $U(N)_{\rm V}$ nonlinear chiral Lagrangian.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
16
The categories of this paper are: stat