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On the bundle of connections and the gauge orbit manifold in Yang-Mills theory. (English) Zbl 0474.58004


MSC:

58D30 Applications of manifolds of mappings to the sciences
55R10 Fiber bundles in algebraic topology
81T08 Constructive quantum field theory
53C05 Connections (general theory)
58D99 Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
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[1] Singer, I.M.: Commun. Math. Phys.60, 7 (1978) · Zbl 0379.53009 · doi:10.1007/BF01609471
[2] Narasimhan, M.S., Ramadas, T.R.: Commun. Math. Phys.67, 21 (1979) · Zbl 0418.53029 · doi:10.1007/BF01221361
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[5] Eells, J.: Bull. Am. Math. Soc.72, 751-807 (1966) · doi:10.1090/S0002-9904-1966-11558-6
[6] Atiyah, M., Hitchin, N., Singer, I.: Proc. R. Soc. (London) A362, 425 (1978)
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[10] Daniel, M., Viallet, C.M.: Rev. Mod. Phys.52, 175 (1980) · doi:10.1103/RevModPhys.52.175
[11] Mitter, P.K.: Cargèse Lectures (1979) In: Recent developments in Gauge theories, Hooft, G. et al. (eds.). New York: Plenum Press (1980)
[12] Asorey, M., Mitter, P.K.: Regularized continuum Yang-Mills process and Feynman-Kac functional integral. Preprint (PAR.LPTHE 80/22) (to be published in Commun. Math. Phys.) · Zbl 0476.58008
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