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Classical Yang-Mills field equations coupled to a scalar triplet invariant under subgroups of the conformal group
Institution:1. N.N. Semenov Federal Research Center for Chemical Physics (CCP) of the Russian Academy of Sciences, 4 Kosygin Str., Moscow 119991, Russian Federation;2. S.A. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, 4/1 Institutskaya Str., Novosibirsk 630090, Russian Federation;1. KEK Theory Center, Tsukuba 305-0801, Japan;2. Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan;3. RIKEN iTHEMS, RIKEN, Wako 351-0198, Japan;4. Department of Physics & Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan;1. The Oskar Klein Centre for Cosmoparticle Physics, Department of Physics, Stockholm University, AlbaNova, 10691 Stockholm, Sweden;2. Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, 10691 Stockholm, Sweden;3. University of Zaragoza, P. Cerbuna 12, 50009 Zaragoza, Spain;4. Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA;5. Center for Theoretical Physics, MIT, Cambridge, MA 02139, USA;6. Department of Physics and Origins Project, Arizona State University, Tempe, AZ 25287, USA;7. T.D. Lee Institute and Wilczek Quantum Center, Shanghai Jiao Tong University, Shanghai 200240, China
Abstract:Classical Yang-Mills-Scalar field equations on Minkowski space with gauge group SU (2) are determined. Solutions invariant up to a gauge transformation under a four-dimensional subgroup of the conformal group are determined for the case of a scalar matter triplet field.
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