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Canonical Formalism for a 2n-Dimensional Model with Topological Mass Generation
Shinichi Deguchi
The four-dimensional model with topological mass generation that was found by Dvali, Jackiw and Pi has recently been generalized to any even number of dimensions (2n-dimensions) in…
2n-Dimensional Models with Topological Mass Generation
Shinichi Deguchi, Satoshi Hayakawa
The 4-dimensional model with topological mass generation that has recently been presented by Dvali, Jackiw and Pi [G. Dvali, R. Jackiw, and S.-Y. Pi, Phys. Rev. Lett. 96, 081602 (2…
Atiyah-Singer Index Theorem in an SO(3) Yang-Mills-Higgs system and derivation of a charge quantization condition
Shinichi Deguchi
The Atiyah-Singer index theorem is generalized to a two-dimensional SO(3) Yang-Mills-Higgs (YMH) system. The generalized theorem is proven by using the heat kernel method and a non…
Charge quantization conditions based on the Atiyah--Singer index theorem
Shinichi Deguchi, Kaoru Kitsukawa
Dirac's quantization condition, (), and Schwinger's quantization condition, (), for an electric charge and a magnetic charge are…
A BRST gauge-fixing procedure for Yang-Mills theory on sphere
Rabin Banerjee, Shinichi Deguchi
A gauge-fixing procedure for the Yang-Mills theory on an n-dimensional sphere (or a hypersphere) is discussed in a systematic manner. We claim that Adler's gauge-fixing condition u…
Second quantized formulation of geometric phases
Shinichi Deguchi, Kazuo Fujikawa
The level crossing problem and associated geometric terms are neatly formulated by the second quantized formulation. This formulation exhibits a hidden local gauge symmetry related…