Abstract
In Yang-Mills theory, it is shown that the Ricci tensor in the orbit space is always positively defined. Nevertheless, the orbit space cannot be considered as compact because it contains infinite-dimensional Euclidean hypersurfaces.
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References
GrossD.J. and WilczekF., Phys. Rev. D8, 3633 (1973); Politzer, H.D., Phys. Rep. 14, 129 (1974).
BabelonO. and VialletC.M., Phys. Lett. 85B, 246 (1979); Phys. Lett. 103B, 45 (1981); Comm. Math. Phys. 81, 515 (1981).
Vergeles, S.N., ‘Orbit Space in the Non-Abelian Gauge Theory’, Chernogolovka preprint, 1980.
CartanE., Lecons sur le geometric des espace de Riemann, Gauthier-Villars, Paris, 1946.
BelavinA., PolyakovA., SchwartzA., and TyupkinY., Phys. Lett. 59B, 85 (1975).
PolyakovA., Nucl. Phys. B120, 429 (1977).
WilsonK.G., Phys. Rev. D10, 2445 (1974); Polyakov, A., Phys. Lett. 59B, 82 (1975); Kogut, J. and Susskind, L., Phys. Rev. D16, 395 (1975).
VergelesS.N., Nucl. Phys. B208, 301 (1982); Nucl. Phys. B, to be published.
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Vergeles, S.N. Some properties of orbit space in Yang-Mills theory. Lett Math Phys 7, 399–406 (1983). https://doi.org/10.1007/BF00398761
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DOI: https://doi.org/10.1007/BF00398761