47 citations · 87 across the 6 of their papers we have counts for
6 papers
Lorentz Invariance And Unitarity Problem In Non-Commutative Field Theory
Katsusada Morita, Yoshitaka Okumura, Eizou Umezawa
It is shown that the one-loop two-point amplitude in {\it Lorentz-invariant} non-commutative (NC) theory is finite after subtraction in the commutative limit and satisfies th…
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…
Compositeness Condition and Vacuum Stability
Eizou Umezawa
We consider what occurs when we remove one of the compositeness conditions proposed by Bardeen, Hill and Lindner that leads to predictions for the top quark mass conflicting with t…
Bi-Local Higgs-Like Fields Based on Non-Commutative Geometry
Shigefumi Naka, Shinji Abe, Eizou Umezawa +1
The bi-local model of hadrons is studied from the viewpoint of non-commutative geometry formulated so that Higgs-like scalar fields play the role of a bridge, the bi-local fields,…
Renormalization Group Invariant Constraints among Coupling Constants in a Noncommutative Geometry Model
Eizou Umezawa
We study constraints among coupling constants of the standard model obtained in the noncommutative geometry (NCG) method. First, we analyze the evolution of the Higgs boson mass un…
Fine-Tuning Problem in a Left-Right Symmetric Model and Sogami's Generalized Covariant Derivative Method
Eizou Umezawa
We study Sogami's generalized covariant derivative method for a model that contains bi-doublet and triplet Higgs bos…