Phi4tools: Compilation of Feynman Diagrams for Landau-Ginzburg-Wilson Theories

Scalar field theories with quartic interactions are of central interest inthe study of second-order phase transitions. For three-dimensional theories,numerous studies make use of the fixed-dimensional perturbative computation of[B. Nickel, D. Meiron, and G. Baker Jr, Compilation of 2-pt and 4-pt graphs forcontinuous spin model, University of Guelph report (1977)], unfortunately leftunpublished. We independently verify the results of Nickel et al., and weextend the computation to the eighth order in the coupling constant. Theresults of our calculations, together with the tools developed, are madeavailable in Phi4tools, a user-friendly package that allows displaying theinformation about the individual Feynman diagrams, including the numericalvalues for the diagrams for zero, two, and four-point functions. We alsoprovide the perturbative series up to order eight for the renormalization-groupfunctions for the O(N) and cubic anisotropic models.