Five-Loop Vacuum Energy Beta Function in phi4 Theory with O(N)-Symmetric and Cubic Interactions
Boris Kastening
Abstract
The beta function of the vacuum energy density is analytically computed at the five-loop level in O(N)-symmetric phi4 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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