Geodesic
Algebraic aspects of gauge theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 2, pp. 217-233

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Gauge theories are primary tools in modern elementary particle physics. The generally recognized mathematical foundations of these theories are in differential geometry, namely, in the theory of connections in a principal fiber bundle. We propose another approach to the mathematical description of gauge theories based on a combination of algebraic and geometric methods.
Keywords: derivation, principal fiber bundle, covariant derivative, gauge, Yang–Mills field, Yang–Mills action, gauge invariance
Mots-clés : moduli space. 
V. V. Zharinov. Algebraic aspects of gauge theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 2, pp. 217-233. http://geodesic.mathdoc.fr/item/TMF_2014_180_2_a4/
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