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Geometric regularization of Yang-Mills theory
Affiliation:1. Department of Ceramics and Refractories, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, Krakow 30-059, Poland;2. Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, Krakow 30-059, Poland;3. Department of Inorganic Chemistry, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, Krakow 30-059, Poland;4. Department of Glass Technology and Amorphous Coatings, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, 30-059 Krakow, Poland;5. Veterinary Clinic “Pulawska”, 02-844 Warsaw, Poland;6. Faculty of Chemistry, Jagiellonian University, 30-387 Krakow, Poland;7. Department of Silicates and Macromolecular Compounds, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, Krakow 30-059, Poland;8. University of Gdansk, Intercollegiate Faculty of Biotechnology UG-MUG, Laboratory of Biologically Active Compounds, Gdansk 80-307, Poland
Abstract:A continuum regularization of Yang-Mills theory with a possible non-perturbative interpretation is introduced in the euclidean formalism. The regularization preserves Lorentz covariance and gauge invariance and involves not only a regularization of the action but also a regularization of the functional measure in terms of a nuclear-riemannian structure of the space of gauge orbits.
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