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

Boris Kastening
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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).

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Boris Kastening. 1996-08-07. Four-Loop Vacuum Energy Beta Function in O(N) Symmetric Scalar Theory. https://doi.org/10.1103/physrevd.54.3965

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