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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Format: | Article |
Language: | English |
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MDPI AG
2024-01-01
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Series: | Symmetry |
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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. |
first_indexed | 2024-03-08T10:34:41Z |
format | Article |
id | doaj.art-b68638f4e6d543ce84c1749eae2f1d50 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-08T10:34:41Z |
publishDate | 2024-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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 |