FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity

This article reviews recent progress in computational quantum gravity caused by the framework that efficiently computes Feynman’s rules. The framework is implemented in the FeynGrav package, which extends the functionality of the widely used FeynCalc package. FeynGrav provides all the tools to study...

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Main Author: Boris Latosh
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/16/1/117
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author Boris Latosh
author_facet Boris Latosh
author_sort Boris Latosh
collection DOAJ
description This article reviews recent progress in computational quantum gravity caused by the framework that efficiently computes Feynman’s rules. The framework is implemented in the FeynGrav package, which extends the functionality of the widely used FeynCalc package. FeynGrav provides all the tools to study quantum gravitational effects within the standard model. We review the framework, provide the theoretical background for the efficient computation of Feynman rules, and present the proof of its completeness. We review the derivation of Feynman rules for general relativity, Horndeski gravity, Dirac fermions, Proca field, electromagnetic field, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mi>N</mi><mo>)</mo></mrow></semantics></math></inline-formula> Yang–Mills model. We conclude with a discussion of the current state of the FeynGrav package and discuss its further development.
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spelling doaj.art-b68638f4e6d543ce84c1749eae2f1d502024-01-26T18:39:04ZengMDPI AGSymmetry2073-89942024-01-0116111710.3390/sym16010117FeynGrav and Recent Progress in Computational Perturbative Quantum GravityBoris Latosh0Particle Theory and Cosmology Group, Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS), Daejeon 34126, Republic of KoreaThis article reviews recent progress in computational quantum gravity caused by the framework that efficiently computes Feynman’s rules. The framework is implemented in the FeynGrav package, which extends the functionality of the widely used FeynCalc package. FeynGrav provides all the tools to study quantum gravitational effects within the standard model. We review the framework, provide the theoretical background for the efficient computation of Feynman rules, and present the proof of its completeness. We review the derivation of Feynman rules for general relativity, Horndeski gravity, Dirac fermions, Proca field, electromagnetic field, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mi>N</mi><mo>)</mo></mrow></semantics></math></inline-formula> Yang–Mills model. We conclude with a discussion of the current state of the FeynGrav package and discuss its further development.https://www.mdpi.com/2073-8994/16/1/117quantum gravityFeynGravFeynCalc
spellingShingle Boris Latosh
FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
Symmetry
quantum gravity
FeynGrav
FeynCalc
title FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
title_full FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
title_fullStr FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
title_full_unstemmed FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
title_short FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
title_sort feyngrav and recent progress in computational perturbative quantum gravity
topic quantum gravity
FeynGrav
FeynCalc
url https://www.mdpi.com/2073-8994/16/1/117
work_keys_str_mv AT borislatosh feyngravandrecentprogressincomputationalperturbativequantumgravity