Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of a gapless Hartree-Fock approximation to a theory with
  spontaneously broken O(N)-symmetry   The renormalization of a gapless Phi-derivable Hartree--Fock approximation to
the O(N)-symmetric lambda*phi^4 theory is considered in the spontaneously
broken phase. This kind of approach was proposed by three of us in a previous
paper in order to preserve all the desirable features of Phi-derivable
Dyson-Schwinger resummation schemes (i.e., validity of conservation laws and
thermodynamic consistency) while simultaneously restoring the Nambu--Goldstone
theorem in the broken phase. It is shown that unlike for the conventional
Hartree--Fock approximation this approach allows for a scale-independent
renormalization in the vacuum. However, the scale dependence still persists at
finite temperatures. Various branches of the solution are studied. The
occurrence of a limiting temperature inherent in the renormalized Hartree--Fock
approximation at fixed renormalization scale mu is discussed.

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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con