4 papers
Lorentz-Invariant Non-Commutative Space-Time Based On DFR Algebra
Hiromi Kase, Katsusada Morita, Yoshitaka Okumura +1
It is argued that the familiar algebra of the non-commutative space-time with -number is inconsistent from a theoretical point of view. Consistent algebras are obtained…
A Field-Theoretic Approach to Connes' Gauge Theory on
Hiromi Kase, Katsusada Morita, Yoshitaka Okumura
Connes' gauge theory on is reformulated in the Lagrangian level. It is pointed out that the field strength in Connes' gauge theory is not unique. We explicitly cons…
Lagrangian Formulation of Connes' Gauge Theory
Hiromi Kase, Katsusada Morita, Yoshitaka Okumura
It is shown that Connes' generalized gauge field in non-commutative geometry is derived by simply requiring that Dirac lagrangian be invariant under local transformations of the un…
Gauge Theories Coupled to Fermions in Generation
Hiromi Kase, Katsusada Morita, Yoshitaka Okumura
Gauge theories coupled to fermions in generation are reformulated in a modified version of extended differential geometry with the symbol . After discussing several toy models,…