2001/09/30 by Boris Kastening, H. Kleinert, Hagen Kleinert +2
Physics and Astronomy · #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism #Quantum chaos and dynamical systems #cond-mat.stat-mech #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.65.174512
published as Phys.Rev. B65 (2002) 174512 · 9 pages; updated references
openalex publication_date 2002/04/19 · arxiv created 2002/07/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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\ensuremath-\ensuremathε dimensions in an \ensuremathε expansion using the minimal subtraction scheme commonly denoted by MS. From the diverging parts of the diagrams, we obtain the renormalization constant of the vacuum Zv which also contains information on the critical exponent \ensuremathα 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_\ensuremathφ up to two loops.