Five-Loop Vacuum Energy Beta Function in phi^4 Theory with O(N)-Symmetric and Cubic Interactions

Details Five-Loop Vacuum Energy Beta Function in phi^4 Theory with O(N)-Symmetric and Cubic Interactions Five-Loop Vacuum Energy Beta Function in phi^4 Theory with O(N)-Symmetric and Cubic Interactions

1997-10-14

arxiv.org/abs/hep-ph/9710346v4

Phys.Rev. D57 (1998) 3567-3578

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, LaTeX; "note added" fixed

Scientific paper

10.1103/PhysRevD.57.3567

The beta function of the vacuum energy density is analytically computed at the five-loop level in O(N)-symmetric phi^4 theory, using dimensional regularization in conjunction with the MSbar scheme. The result for the case of a cubic anisotropy is also given. It is pointed out how to also obtain the beta function of the coupling and the gamma function of the mass from vacuum graphs. This method may be easier than traditional approaches.

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