Weak Riemannian structures on gauge-group orbits |
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Authors: | Vittorio Berzi Marco Reni |
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Affiliation: | (1) Istituto di Scienze Fisiche dell'Università, Milan, Italy |
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Abstract: | It has been shown recently that the orbit space for the (Sobolev extended) gauge group action admits a stratification into Hilbert manifolds. Here it is shown that these manifolds carry a natural weak Riemannian structure defined by a metric that corresponds to the kinetic part of the Lagrangian considered in heuristic Yang-Mills theories. |
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