Three-loop ground-state energy of O(N)-symmetric Ginzburg-Landau theory above T-c in 4-epsilon dimensions with minimal subtraction | |
Article | |
关键词: CRITICAL FLUCTUATIONS; PHASE-TRANSITIONS; GAUGE DEPENDENCE; BETA-FUNCTION; SUPERCONDUCTORS; ORDER; DIAGRAMS; MODEL; | |
DOI : 10.1103/PhysRevB.65.174512 | |
来源: SCIE |
【 摘 要 】
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) over 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. Kleinert and B. Van den Bossche, cond-mat/0104102] to determine the renormalization constant of the scalar field Z(phi) up to two loops.
【 授权许可】
Free