Three loop ground state energy of O(N) symmetric Ginzburg-Landau theory above T(c) in 4-epsilon dimensions with minimal subtraction
Sep, 2001
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Abstract: (arXiv)
As a step towards deriving universal amplitude ratios of the superconductive phase transition we calculate the vacuum energy density in the symmetric phase of O(N)-symmetric scalar QED in D=4-epsilon dimensions in an epsilon-expansion using the minimal subtraction scheme commonly denoted by MS-bar. From the diverging parts of the diagrams, we obtain the renormalization constant of the vacuum Z_v which also contains information on the critical exponent alpha of the specific heat. As a side result, we use an earlier two-loop calculation of the effective potential (H.K. and B.VdB., Phys.Rev. E63 (2001) 056113, cond-mat/0104102) to determine the renormalization constant of the scalar field Z_phi up to two loops.- Landau-Ginzburg model
- symmetry: O(N)
- energy: ground state
- epsilon expansion
- gauge field theory: abelian
- renormalization
- field theory: scalar
- Feynman graph: higher-order
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