Phi4tools: compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories

Year: 2024

Authors: Sberveglieri G., Spada G.

Autors Affiliation: Via Bonomea 265, I-34136 Sissa, Trieste, Italy; INFN, Via Bonomea 265, I-34136 Trieste, Italy; Univ Bern, Inst Theoret Phys, Albert Einstein Ctr Fundamental Phys, Sidlerstr 5, CH-3012 Bern, Switzerland; Univ Trento, Pitaevskii BEC Ctr, CNR INO, Via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommar 14, I-38123 Trento, Italy.

Abstract: 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Compilation of 2-pt and 4-pt graphs for continuous spin model, University of Guelph report (1977)], unfortunately left unpublished.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.

Journal/Review: JOURNAL OF HIGH ENERGY PHYSICS

Volume: (5)      Pages from: 73-1  to: 73-29

More Information: We are grateful to Marco Serone for his encouragement on the project and for many helpful and insightful discussions throughout the course of this work. We also thank Nicola Dondi, Stefano Giorgini, and Saman Soltani for useful discussions and comments on the draft. G.Sp. acknowledges support from the Provincia Autonoma di Trento. The work of G.Sb. is supported by the Swiss National Science Foundation under grants number 205607, within the scope of the NCCR SwissMAP, and 200021 192137. We acknowledge the HPC Collaboration Agreement between SISSA and CINECA for granting access to Marconi100. Part of the numerical computations were performed on the SISSA cluster Ulysses.
KeyWords: Large-Order Behaviour of Perturbation Theory; Renormalons; Renormalization Group; Field Theories in Lower Dimensions
DOI: 10.1007/JHEP05(2024)073


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