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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Details

16 pages, latex, no figures. Enlarged and updated reference list, minor typographical changes

Scientific paper

10.1103/PhysRevD.54.3965

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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