{"title":"FeynGrav 3.0","authors":"Boris Latosh","doi":"10.1016/j.cpc.2025.109508","DOIUrl":null,"url":null,"abstract":"<div><div>We present the new version of the <span>FeynGrav</span>. The package provides tools to operate with Feynman rules for quantum gravity within <span>FeynCalc</span>. The latest version improves package efficiency and implements new physical models. We discover recurrent relations between metric factors that enhance computational efficiency. We discuss gravitational interaction with Horndeski gravity, quadratic gravity, and the simplest axion-like coupling. We implemented the massive graviton propagator and discussed the possibility of implementing massive gravity within the package.</div></div><div><h3>Program summary</h3><div><em>Program title:</em> FeynGrav</div><div><em>CPC Library link to program files:</em> <span><span>https://doi.org/10.17632/rwnrbbdkkv.2</span><svg><path></path></svg></span></div><div><em>Developer's repository link:</em> <span><span>github.com/BorisNLatosh/FeynGrav</span><svg><path></path></svg></span></div><div><em>Licensing provisions:</em> GPLv3</div><div><em>Programming language:</em> Wolfram Mathematica 10 and higher</div><div><em>Journal reference of previous version:</em> [1,2]</div><div><em>Does the new version supersede the previous version?:</em> The new version supersedes the previous version. The new version implements new interaction rules and new commands for propagators, projection operators, and Nieuwenhuizen operators.</div><div><em>Reasons for the new version:</em> Firstly, to improve the efficiency of the generation of interaction rules. Secondly, to implement more models relevant to the modified gravity and particle physics community.</div><div><em>Summary of revisions:</em> The performance of the algorithm generating the interaction rules is increased. New interaction rules for Horndeski gravity, axion-like coupling to a single scalar field, and quadratic coupling are added. A realisation of the massive graviton propagator is implemented.</div><div><em>Nature of problem:</em> Perturbative quantum gravity is an effective theory that provides a framework to study quantum gravitational effects below the Planck scale. Due to its nature, the theory contains an infinite number of interaction vertices, each containing a large number of terms. Using a computer algebra system is essential to operate efficiently with the interaction rules in perturbative quantum gravity.</div><div><em>Solution method:</em> FeynGrav provides a framework to operate with the interaction rules of perturbative quantum gravity within FeynCalc [3–5]. The package uses the theoretical framework, allowing for efficient computation of the interaction rules. The program also uses FORM [6] to further improve computational efficiency.</div></div><div><h3>References</h3><div><ul><li><span>[1]</span><span><div>B. Latosh, Class. Quantum Gravity 39 (16) (2022) 165006, <span><span>https://doi.org/10.1088/1361-6382/ac7e15</span><svg><path></path></svg></span>, <span><span>arXiv:2201.06812 [hep-th]</span><svg><path></path></svg></span>.</div></span></li><li><span>[2]</span><span><div>B. Latosh, Comput. Phys. Commun. 292 (2023) 108871, <span><span>https://doi.org/10.1016/j.cpc.2023.108871</span><svg><path></path></svg></span> <span><span>arXiv:2302.14310 [hep-th]</span><svg><path></path></svg></span>.</div></span></li><li><span>[3]</span><span><div>V. Shtabovenko, R. Mertig, F. Orellana, Comput. Phys. Commun. 256 (2020) 107478, <span><span>https://doi.org/10.1016/j.cpc.2020.107478</span><svg><path></path></svg></span>, <span><span>arXiv:2001.04407 [hep-ph]</span><svg><path></path></svg></span>.</div></span></li><li><span>[4]</span><span><div>V. Shtabovenko, R. Mertig, F. Orellana, Comput. Phys. Commun. 207 (2016) 432-444, <span><span>https://doi.org/10.1016/j.cpc.2016.06.008</span><svg><path></path></svg></span>, <span><span>arXiv:1601.01167 [hep-ph]</span><svg><path></path></svg></span>.</div></span></li><li><span>[5]</span><span><div>R. Mertig, M. Bohm, A. Denner, Comput. Phys. Commun. 64 (1991) 345-359, <span><span>https://doi.org/10.1016/0010-4655(91)90130-D</span><svg><path></path></svg></span></div></span></li><li><span>[6]</span><span><div>J.A.M. Vermaseren, <span><span>arXiv:math-ph/0010025</span><svg><path></path></svg></span>.</div></span></li></ul></div></div>","PeriodicalId":285,"journal":{"name":"Computer Physics Communications","volume":"310 ","pages":"Article 109508"},"PeriodicalIF":3.4000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Physics Communications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0010465525000116","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/1/16 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
我们提出了新版本的费因格拉夫。该软件包提供了在FeynCalc中使用Feynman规则进行量子引力操作的工具。最新版本提高了封装效率，实现了新的物理模型。我们发现了度量因子之间的循环关系，提高了计算效率。我们讨论了霍恩德斯基引力、二次引力和最简单的类轴子耦合的引力相互作用。我们实现了大质量引力子传播子，并讨论了在包内实现大质量引力的可能性。程序摘要程序标题：FeynGravCPC库链接到程序文件：https://doi.org/10.17632/rwnrbbdkkv.2Developer's存储库链接：github.com/BorisNLatosh/FeynGravLicensing条款：gplv3编程语言：Wolfram Mathematica 10及更高版本期刊参考文献：[1,2]新版本是否取代旧版本？：新版本将取代旧版本。新版本为传播算子、投影算子和Nieuwenhuizen算子实现了新的交互规则和新的命令。新版本的原因：第一，提高交互规则生成的效率。其次，实现更多与修正重力和粒子物理社区相关的模型。修订总结：提高了交互规则生成算法的性能。增加了Horndeski引力、单标量场的类轴子耦合和二次耦合的新相互作用规则。实现了大质量引力子传播子。问题性质：微扰量子引力是一个有效的理论，为研究普朗克尺度以下的量子引力效应提供了一个框架。由于其性质，该理论包含无限数量的相互作用顶点，每个顶点都包含大量的项。利用计算机代数系统有效地处理微扰量子引力中的相互作用规则是必不可少的。求解方法：FeynGrav提供了一个框架，在FeynCalc中运行微扰量子引力的相互作用规则[3-5]。该包使用理论框架，允许有效地计算交互规则。该程序还使用FORM[6]来进一步提高计算效率。Latosh类。王晓明。量子引力39 (16)(2022)165006,https://doi.org/10.1088/1361-6382/ac7e15, arXiv:2201.06812 [p-th].[2]。Latosh,第一版。理论物理。通讯。292 (2023)108871,https://doi.org/10.1016/j.cpc.2023.108871 arXiv:2302.14310 [help -th].[3]Shtabovenko， R. Mertig， F. Orellana, Comput。理论物理。通讯学报，256 (2020)107478,https://doi.org/10.1016/j.cpc.2020.107478, arXiv:2001.04407 [hep-ph].[4]Shtabovenko， R. Mertig， F. Orellana, Comput。理论物理。通讯，207 (2016)432-444,https://doi.org/10.1016/j.cpc.2016.06.008, arXiv:1601.01167 [hep-ph].[5]。M. Bohm， A. Denner, Comput。理论物理。common . 64 (1991) 345-359, https://doi.org/10.1016/0010-4655(91)90130-D[6]J.A.M。Vermaseren, arXiv: math-ph / 0010025。
We present the new version of the FeynGrav. The package provides tools to operate with Feynman rules for quantum gravity within FeynCalc. The latest version improves package efficiency and implements new physical models. We discover recurrent relations between metric factors that enhance computational efficiency. We discuss gravitational interaction with Horndeski gravity, quadratic gravity, and the simplest axion-like coupling. We implemented the massive graviton propagator and discussed the possibility of implementing massive gravity within the package.
Program summary
Program title: FeynGrav
CPC Library link to program files:https://doi.org/10.17632/rwnrbbdkkv.2
Programming language: Wolfram Mathematica 10 and higher
Journal reference of previous version: [1,2]
Does the new version supersede the previous version?: The new version supersedes the previous version. The new version implements new interaction rules and new commands for propagators, projection operators, and Nieuwenhuizen operators.
Reasons for the new version: Firstly, to improve the efficiency of the generation of interaction rules. Secondly, to implement more models relevant to the modified gravity and particle physics community.
Summary of revisions: The performance of the algorithm generating the interaction rules is increased. New interaction rules for Horndeski gravity, axion-like coupling to a single scalar field, and quadratic coupling are added. A realisation of the massive graviton propagator is implemented.
Nature of problem: Perturbative quantum gravity is an effective theory that provides a framework to study quantum gravitational effects below the Planck scale. Due to its nature, the theory contains an infinite number of interaction vertices, each containing a large number of terms. Using a computer algebra system is essential to operate efficiently with the interaction rules in perturbative quantum gravity.
Solution method: FeynGrav provides a framework to operate with the interaction rules of perturbative quantum gravity within FeynCalc [3–5]. The package uses the theoretical framework, allowing for efficient computation of the interaction rules. The program also uses FORM [6] to further improve computational efficiency.
B. Latosh, Comput. Phys. Commun. 292 (2023) 108871, https://doi.org/10.1016/j.cpc.2023.108871arXiv:2302.14310 [hep-th].
[3]
V. Shtabovenko, R. Mertig, F. Orellana, Comput. Phys. Commun. 256 (2020) 107478, https://doi.org/10.1016/j.cpc.2020.107478, arXiv:2001.04407 [hep-ph].
[4]
V. Shtabovenko, R. Mertig, F. Orellana, Comput. Phys. Commun. 207 (2016) 432-444, https://doi.org/10.1016/j.cpc.2016.06.008, arXiv:1601.01167 [hep-ph].
[5]
R. Mertig, M. Bohm, A. Denner, Comput. Phys. Commun. 64 (1991) 345-359, https://doi.org/10.1016/0010-4655(91)90130-D
期刊介绍：
The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper.
Computer Programs in Physics (CPiP)
These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged.
Computational Physics Papers (CP)
These are research papers in, but are not limited to, the following themes across computational physics and related disciplines.
mathematical and numerical methods and algorithms;
computational models including those associated with the design, control and analysis of experiments; and
algebraic computation.
Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.
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