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Why is there a separate Introduction to gauge theory page? Shouldn't an encyclopedia article be an introduction to a subject? It seems like it'd be better to combine them into a single page, or split this main article out into more specific technical pages and replace it with the introduction. — Preceding unsigned comment added by 2601:647:4D03:3CA7:A860:47C9:1D45:B8DD ( talk) 10:34, 15 June 2017 (UTC)
The first sentence is a great example of how Physics articles on Wikipedia can be utterly incomprehensible. The first sentence of this article: "In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations." contains four terms I don't understand: "field theory", "Lagrangian", "Lie groups", "local transformations". I guess I could read up on those terms on their respective pages. Let's take "Lie groups", the first sentence of that article is: "In mathematics, a Lie group is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure." Three terms I don't understand: "Differential manifold", "group operations", "smooth structure". It just keeps branching out! How can an uninformed reader ever grasp what is being said?
Although I applaud the creation of the Introduction to gauge theory page, I completely agree with the above comment: encyclopedia articles should be an introduction to a subject. 217.76.25.109 ( talk) 22:11, 19 July 2017 (UTC)
84.114.240.91 ( talk) 14:40, 21 June 2020 (UTC) The subject is very difficult, indeed. To help at least physics students with just basic (BS) knowledge to get a grip on it, I added a link into the "external links" section to here: https://www.goldsilberglitzer.at/Rezepte/Rezept008E.pdf. It explains it without "Lie groups", "Lagrangian", etc. However, the link was immediately removed. Maybe this decision should be re-considered. — Preceding unsigned comment added by 84.114.240.91 ( talk) 14:33, 21 June 2020 (UTC)
In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations.
Under certain wider range transformations we have dark matter and Roger Penrose's Big Bang (suddenly, after an energy threshold overflow of an extremely old expanding universe, that Universe is caught by police, and the only way to make its Lagrangian invariant again is to implode).
Under certain allows room for new theories. — Preceding unsigned comment added by 2A02:587:411C:3400:6121:B908:16E1:BD7 ( talk) 03:44, 12 July 2018 (UTC)
Should have something on the pronunciation of the word "gauge", which is unexpected based on the spelling... AnonMoos ( talk) 20:46, 27 July 2021 (UTC)
I think the section containing
and the following sections could be made clearer by avoiding apostrophes when there is also talk of derivatives. Or at least specifying what the primed version is intended to mean. Haukurb-dev ( talk) 11:41, 27 July 2023 (UTC)
This article refers to a gauge as "any specific mathematical formalism to regulate redundant degrees of freedom in the Lagrangian of a physical system."
However, in the article Gauge fixing#Gauge freedom, a gauge is referred to as "A particular choice of the scalar and vector potentials". This definition makes more sense to me, as when you, for example, perform a gauge transform, it is these potentials which undergo the transform, not the mathematical formalism which undergoes the transform. 2001:67C:10EC:2886:8000:0:0:FE ( talk) 18:38, 2 May 2024 (UTC)