Two-loop RG functions of the massive $φ^4$ field theory in general dimensions

Details Two-loop RG functions of the massive $φ^4$ field theory in general dimensions Two-loop RG functions of the massive $φ^4$ field theory in general dimensions

2009-12-03

arxiv.org/abs/0912.0672v1

Cond. Mat. Phys. 13, 13101 (2010), http://www.icmp.lviv.ua/journal/zbirnyk.61/004/art04.pdf

Physics

Condensed Matter

Statistical Mechanics

13 pages

Scientific paper

Two-loop Feynman integrals of the massive $\phi^4_d$ 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.

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