Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Violations of parity and charge conjugation in the theta vacuum with
  imaginary chemical potential   Charge conjugation (C) and Parity (P) are exact symmetries at theta =pi and
Theta = mu/(iT)=pi, where theta is the parameter of the so-called theta-vacuum,
mu is the imaginary quark-number chemical potential and T is the temperature.
Spontaneous breakings of these discrete symmetries are investigated by the the
Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. At zero T, P symmetry
is spontaneously broken while C symmetry is conserved. As T increases, P
symmetry is restored just after C symmetry is spontaneously broken, so that
either P or C symmetry or both the symmetries are spontaneously broken for any
T. The chiral-symmetry restoration and the deconfinement transition at theta
=Theta =0 are remnants of the P restoration and the C breaking at theta =Theta
=pi, respectively.

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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: stat