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Main Authors: Salas-Bernárdez, Alexandre, Borinsky, Michael, Capatti, Zeno, Laenen, Eric
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2310.09708
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author Salas-Bernárdez, Alexandre
Borinsky, Michael
Capatti, Zeno
Laenen, Eric
author_facet Salas-Bernárdez, Alexandre
Borinsky, Michael
Capatti, Zeno
Laenen, Eric
contents Flow Oriented Perturbation Theory (FOPT) is a novel approach to Feynman diagrams based on the coordinate (position) space description of Quantum Field Theories (QFT). FOPT offers interesting features regarding the computation of higher-loop Feynman amplitudes such as combinatorial and canonical Feynman rules, explicit infrared singularity factorization on a per-diagram level and the potential to have manifest cancellation of real and virtual singularities. In these proceedings we briefly summarize the derivation of FOPT and present its Feynman rules for covariant diagrams, S-matrix elements and cut diagrams in massless scalar QFT, supported by examples. We then discuss the extension of FOPT to massless fermion fields and indicate steps towards the treatment of massive lines in arbitrary dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2310_09708
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Flow Oriented Perturbation Theory
Salas-Bernárdez, Alexandre
Borinsky, Michael
Capatti, Zeno
Laenen, Eric
High Energy Physics - Theory
High Energy Physics - Phenomenology
Flow Oriented Perturbation Theory (FOPT) is a novel approach to Feynman diagrams based on the coordinate (position) space description of Quantum Field Theories (QFT). FOPT offers interesting features regarding the computation of higher-loop Feynman amplitudes such as combinatorial and canonical Feynman rules, explicit infrared singularity factorization on a per-diagram level and the potential to have manifest cancellation of real and virtual singularities. In these proceedings we briefly summarize the derivation of FOPT and present its Feynman rules for covariant diagrams, S-matrix elements and cut diagrams in massless scalar QFT, supported by examples. We then discuss the extension of FOPT to massless fermion fields and indicate steps towards the treatment of massive lines in arbitrary dimensions.
title Flow Oriented Perturbation Theory
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2310.09708