Three-Loop Ground-State Energy of O(N)-Symmetric Ginzburg-Landau Theory Above T_c in 4-epsilon Dimensions with Minimal Subtraction

dc.creatorKastening, Boris
dc.creatorKleinert, Hagen
dc.creatorBossche, Bruno Van den
dc.date2001-09-20
dc.date2002-07-22
dc.date.accessioned2026-07-07T07:35:51Z
dc.date.available2026-07-07T07:35:51Z
dc.descriptionAs 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.
dc.description9 pages; updated references
dc.identifierhttps://arxiv.org/abs/cond-mat/0109372
dc.identifierhttp://arxiv.org/abs/cond-mat/0109372
dc.identifierPhys.Rev. B65 (2002) 174512
dc.identifierdoi:10.1103/PhysRevB.65.174512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120233
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleThree-Loop Ground-State Energy of O(N)-Symmetric Ginzburg-Landau Theory Above T_c in 4-epsilon Dimensions with Minimal Subtraction
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