Two-loop RG functions of the massive ${\varphi }^4$ field theory in general dimensions

Abstract

Two-loop Feynman integrals of the massive ${\varphi }_d^4$ field theory are explicitly obtained for generic space dimensions $d$. Corresponding renormalization-group functions are expressed in a compact form in terms of Gauss hypergeometric functions. A number of interesting and useful relations is given for these integrals as well as for several special mathematical functions and constants.

13 pages

References in corpus (3)

• Reply to: ``Comment on `Spurious fixed points in frustrated magnets,' cond-mat/0609285"
• Spurious fixed points in frustrated magnets
• Comment on "Spurious fixed points in frustrated magnets," cond-mat/0609285