English

Four-Loop Vacuum Energy Beta Function in O(N) Symmetric Scalar Theory

High Energy Physics - Phenomenology 2008-02-03 v2 Statistical Mechanics High Energy Physics - Theory

Abstract

The beta function of the vacuum energy density is computed at the four-loop level in massive O(N) symmetric phi^4 theory. Dimensional regularization is used in conjunction with the MSbar scheme and all calculations are in momentum space in the massive theory. The result is beta_v = g N/4+g^3 N(N+2)/96+g^4 N(N+2)(N+8)[12 zeta(3)-25]/1296+o(g^5).

Keywords

Cite

@article{arxiv.hep-ph/9604311,
  title  = {Four-Loop Vacuum Energy Beta Function in O(N) Symmetric Scalar Theory},
  author = {Boris Kastening},
  journal= {arXiv preprint arXiv:hep-ph/9604311},
  year   = {2008}
}

Comments

16 pages, latex, no figures. Enlarged and updated reference list, minor typographical changes

R2 v1 2026-07-22T14:30:46.304Z