Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Re-Interpretation of Spontaneous Symmetry Breaking in Quantum Field
  Theory and Goldstone Theorem   We present a new picture of global symmetry breaking in quantum field theory
and propose a novel realization of symmetry breaking phenomena in terms of the
conserved charge associated with its symmetry. In particular, the fermion
condensate of the vacuum state is examined when the spontaneous chiral symmetry
breaking takes place. It is shown that the fermion condensate of the vacuum
vanishes if the system is solved exactly, and therefore we cannot make use of
the Goldstone theorem. As a perfect example, we present the Bethe ansatz vacuum
of the Thirring model which shows the spontaneous chiral symmetry breaking with
no fermion condensate.

4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga