Condensed Matter Physics, 2010, vol. 13, No. 1, p. 13101:1-12
Two-loop RG functions of the massive φ4 field theory in general dimensions
(Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)
Two-loop Feynman integrals of the massive φ4d 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 are given for these integrals as
well as for several special mathematical functions and constants.
Feynman integrals, special functions, renormalization group, field theory
PACS: 11.10.Kk, 12.38.Bx, 02.30.Gp, 05.70.Jk