Five-loop vacuum energy β function in φ4 theory with O(N)-symmetric and cubic interactions

The beta function of the vacuum energy density is analytically computed at the five-loop level in O(N)-symmetric f4 theory, using dimensional regularization in conjunction with the MS scheme. The result for the case of 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. [S0556-2821(98)05506-4