Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comments on Spontaneous Spin-Statistics Violation by Fermion Condensates   Scalar condensation, the well-established Higgs phenomenon, is the standard
paradigm for building up renormalizable gauge-invariant theories of massive
gauge bosons. In this short note, we demonstrate the uniqueness of the Higgs
vacuum state under the possible presence of fermion condensates in a
renormalizable U(1) model. In the same context, we explain why spontaneous
spin-statistics violation is technically not admitted in conventional Quantum
Field Theory.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat