Phi4tools: Compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories
arxiv(2023)
摘要
Scalar field theories with quartic interactions are of central interest in
the 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 for
continuous spin model, University of Guelph report (1977)], unfortunately left
unpublished. We independently verify the results of Nickel et al., and we
extend the computation to the eighth order in the coupling constant. The
results of our calculations, together with the tools developed, are made
available in Phi4tools, a user-friendly package that allows displaying the
information about the individual Feynman diagrams, including the numerical
values for the diagrams for zero, two, and four-point functions. We also
provide the perturbative series up to order eight for the renormalization-group
functions for the O(N) and cubic anisotropic models.
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