Condensed Matter Physics, 2010, vol. 13, No. 1, p. 13101:112
DOI:10.5488/CMP.13.13101
Title:
Twoloop RG functions of the massive φ^{4} field theory in general dimensions
Author(s):

M.A. Shpot
(Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

Twoloop Feynman integrals of the massive φ^{4}_{d} field
theory are explicitly obtained for generic space dimensions d.
Corresponding renormalizationgroup 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.
Key words:
Feynman integrals, special functions, renormalization group, field theory
PACS: 11.10.Kk, 12.38.Bx, 02.30.Gp, 05.70.Jk
