Starting from the works of Mandelstam and Bialynicki-Birula, two kinds of gauge-invariant potentials are derived from Yang-Mills theory. Both potentials are path-dependent. However, one of the potentials is Lorentz invariant because it was defined by averaging over 4-dimensional space weighted by th
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Conserved currents and gauge invariance in Yang-Mills theory
โ Scribed by Glenn Barnich; Friedemann Brandt; Marc Henneaux
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 580 KB
- Volume
- 346
- Category
- Article
- ISSN
- 0370-2693
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Under homotopically non-trivial gauge transformations, ci,,, with winding number n, the action, I, for topologically massive Yang-Mills theory changes by 2nn: I-+ I + 2nn. Equivalently, Gauss' law requires the physical states vl,,,[A] to change by a phase under time-independent gauge transformations