Demystifying the Lagrangian formalism for field theories

[2005.11393] Demystifying the Lagrangian formalism for field theories Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematical Physics arXiv:2005.11393 (math-ph) [Submitted on 22 May 2020] Title: Demystifying the Lagrangian formalism for field theories Authors: Gerd Wagner , Matthew W. Guthrie View a PDF of the paper titled Demystifying the Lagrangian formalism for field theories, by Gerd Wagner and Matthew W. Guthrie View PDF HTML (experimental) Abstract: This paper expands on previous work to derive and motivate the Lagrangian formulation of field theories. In the process, we take three deliberate steps. First, we give the definition of the action and derive Euler-Lagrange equations for field theories. Second, we prove the Euler-Lagrange equations are independent under arbitrary coordinate transformations and motivate that this independence is desirable for field theories in physics. We then use the Lagrangian for Electrodynamics as an example field Lagrangian and prove that the related Euler-Lagrange equations lead to Maxwell's equations. Subjects: Mathematical Physics (math-ph) ; Classical Physics (physics.class-ph) Cite as: arXiv:2005.11393 [math-ph] (or arXiv:2005.11393v1 [math-ph] for this version) https://doi.org/10.48550/arXiv.2005.11393 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Demystifying Classical Particles, Fields, and Relativity Through the Lagrangian Formalism. World Scientific, May 2026 Related DOI : https://doi.org/10.1142/14762 Focus to learn more DOI(s) linking to related resources Submission history From: Matthew Guthrie PhD [ view email ] [v1] Fri, 22 May 2020 20:57:21 UTC (8 KB) Full-text links: Access Paper: View a PDF of the paper titled Demystifying the Lagrangian formalism for field theories, by Gerd Wagner and Matthew W. Guthrie View PDF HTML (experimental) TeX Source view license Current browse context: math-ph < prev | next > new | recent | 2020-05 Change to browse by: math math.MP physics physics.class-ph References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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