Gapless Hartree-Fock resummation scheme for the O(N) model

Feb, 2005
13 pages
Published in:
  • Phys.Rev.D 71 (2005) 105016
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Abstract:
A modified selfconsistent Hartree-Fock approximation to the lambda*phi^4 theory with spontaneously broken O(N) symmetry is proposed. It preserves all the desirable features, like conservation laws and thermodynamic consistency, of the selfconsistent Dyson scheme generated from a 2PI functional, also known as the Phi-derivable scheme, while simultaneously respecting the Nambu-Goldstone theorem in the chiral-symmetry broken phase. Various approximate resummation schemes are discussed.
  • 11.30.-j
  • 11.10.Wx
  • SPONTANEOUSLY BROKEN SYMMETRY
  • NAMBU-GOLDSTONE THEOREM
  • PHI-DERIVABLE APPROXIMATION
  • phi**n model: 4
  • symmetry: O(N)
  • spontaneous symmetry breaking
  • Goldstone theorem
  • Hartree-Fock approximation