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INTERACTION OR GEOMETRY?
LAGRANGIAN THEORY OF GAUGE FIELDS
GEOMETRICAL THEORY OF GAUGE FIELDS
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according action analogous appear arbitrary base become charge components conservation laws consider constant construct contains coordinate corresponding covariant curvature defined definition depend derivatives describing determined diagrams differential electrodynamics electromagnetic field elements energy equal equations example exist expression fact fiber space finite follows formalism functions gauge fields gauge group geometrical given gives gravitational field holonomy group identities independent infinite integral interactions internal introduce invariant invariant with respect Lagrangian leads linear lines Lorentz manifold mass means mechanical method metric motion Noether's obtain operator ordinary parameter particles path integral Phys physical possible potential principle problem properties quantities quantum reduces regarded relations relativity requirement respect result rotations satisfied scalar solution space-time strong structure supplementary symmetry tensor theorem theory tion transformations unified values variables vector vector field weak Yang-Mills