Three-loop ground-state energy ofO(N)-symmetric Ginzburg-Landau theory aboveTcin4−ɛdimensions with minimal subtraction
Abstrak
As a step towards deriving universal amplitude ratios of the superconductive phase transition we calculate the vacuum energy density in the symmetric phase of $\mathrm{O}(N)$-symmetric scalar QED in $D=4\ensuremath{-}\ensuremath{\varepsilon}$ dimensions in an $\ensuremath{\varepsilon}$ expansion using the minimal subtraction scheme commonly denoted by $\overline{\mathrm{MS}}.$ 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 $\ensuremath{\alpha}$ 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 ${Z}_{\ensuremath{\varphi}}$ up to two loops.
Topik & Kata Kunci
Penulis (3)
B. Kastening
H. Kleinert
B. V. D. Bossche
Akses Cepat
- Tahun Terbit
- 2001
- Bahasa
- en
- Total Sitasi
- 4×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1103/PhysRevB.65.174512
- Akses
- Open Access ✓