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

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).

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

References in corpus (5)

• Knots and Numbers in ${\varphi }^4$ Theory to 7 Loops and Beyond
• Five-loop renormalization group functions of $O(n)$-symmetric ${\varphi }^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$
• Effective Lagrangian and the back-reaction problem in a self-interacting $O(N)$ scalar theory in curved spacetime
• Habilitationsschrift: Renormalization and Knot Theory
• Knots and Divergences

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