Four-loop vacuum energyβfunction inO<mml:mn/>(N)<mml:mn/>symmetric scalar theory

1996/04/30 by Boris Kastening · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #cond-mat.stat-mech #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.54.3965

published as Phys. Rev. D 54, 3965 (1996) · 16 pages, latex, no figures. Enlarged and updated reference list, minor typographical changes

arxiv created 1996/08/07 · openalex publication_date 1996/09/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The \ensuremathβ function of the vacuum energy density is computed at the four-loop level in massive O(N) symmetric \ensuremathφ⁴ theory. Dimensional regularization is used in conjunction with the \stackrel-MS scheme and all calculations are in momentum space in the massive theory. The result is \ensuremathβ_v=((N)/(4))g+[(N(N+2))/(96)]g³+N(N+2)(N+8)\ifmmode×\else\texttimes\fi\frac[12\ensuremathζ(3)\ensuremath-25]1296g⁴+O(g⁵).

Cited by

• Mass expansions of screened perturbation theory
• Three-loop ground-state energy ofO(N)-symmetric Ginzburg-Landau theory aboveTcin4−ɛdimensions with minimal subtraction