Condensed Matter Physics, 2010, vol. 13, No. 1, p. 13101:1-12

Title: Two-loop RG functions of the massive φ4 field theory in general dimensions
  M.A. Shpot (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.

Key words: Feynman integrals, special functions, renormalization group, field theory
PACS: 11.10.Kk, 12.38.Bx, 02.30.Gp, 05.70.Jk

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