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arxiv: 2110.06334 · v2 · submitted 2021-10-11 · 🧮 math-ph · math.MP

Principal Bundles and Gauge Theories

classification 🧮 math-ph math.MP
keywords theoriesbundlesgaugegeometryprincipalarisingassumedbasic
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This set of lecture notes first gives an introduction to the geometry of principal bundles. Next, it demonstrates how they can be used to formalize the concept of gauge theories arising in physics. A basic familiarity with the differential geometry of manifolds and the classical field theories of general relativity and electromagnetism is assumed.

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