Proposes hypercomplex Yang-Mills theory as a bipartite gauge field model with doubled internal degrees of freedom via commutative ring formalism.
Utiyama, Phys
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Gravity is identified with the SU(2) Yang-Mills field of a modified Dirac equation that carries extra gauge symmetry for fundamental fermions in Minkowski space.
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.
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Hypercomplex Yang-Mills Theory as a Bipartite Gauge Field Model
Proposes hypercomplex Yang-Mills theory as a bipartite gauge field model with doubled internal degrees of freedom via commutative ring formalism.
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Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski space
Gravity is identified with the SU(2) Yang-Mills field of a modified Dirac equation that carries extra gauge symmetry for fundamental fermions in Minkowski space.
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Noncommutative Gauge Theories and Gravity
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.