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Lecture 1: Gauge Theory for Nonexperts

A gentle introduction to gauge theory for those interested in a high level overview and some technical substance. #gauge_theory #math #physics Prerequisites: None, except for basic calculus in certain places. Correction: The UK uses pounds not euros! (Pretend UK is France.) Patreon:   / timothynguyen   Timestamps: 00:00 : Intro 00:36 : Local symmetries 01:25 : Exchange rates and arbitrariness of currency 06:43 : Locality 08:23 : Parallel transport 16:13 : Parallel generalizes constant 18:59 : Parallel section and covariant derivative 22:51 : Connections 29:38 : Gauge transformations 37:22 : Not all connections are gauge equivalent. (However, for fiber bundles over an interval, they will be. So gauge inequivalence arises in higher dimension or if the base space is a circle.) 38:05 : Formula for gauge transformations 47:45 : Nonabelian symmetries 52:38 : Why gauge theory? Further reading: Maldacena: https://arxiv.org/abs/1410.6753 The symmetry and simplicity of the laws of physics and the Higgs boson Lecture pdf: https://tinyurl.com/yht4ddfp Twitter: @iamtimnguyen Webpage: http://www.timothynguyen.org