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

Preprint

28 January 1998

preprint
Published by arXiv in arXiv

Abstract

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.

Keywords

FUNCTION OF THE MASS
CUBIC INTERACTIONS
VACUUM ENERGY
BETA FUNCTION
LOOP VACUUM
ENERGY BETA
CONJUNCTION
ANISOTROPY
PHI

All Related Versions

Version 1, 1997-10-14, ArXiv
Version 2, 1998-01-14, ArXiv
Version 3, 1998-01-28, ArXiv
Version 4, 1998-03-31, ArXiv
Published version: Physical Review D, 57 (6), 3567.

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