177 citations · 3.1k across the 96 of their papers we have counts for
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Nonpertubative Effects of Extreme Localization in Noncommutative Geometry
Itzhak Bars
``Extremely'' localized wavefunctions in noncommutative geometry have disturbances that are localized to distances smaller than , where is the ``area'' parameter that m…
Map of Witten's * to Moyal's *
Itzhak Bars
It is shown that Witten's star product in string field theory, defined as the overlap of half strings, is equivalent to the Moyal star product involving the relativistic phase spac…
2T-Physics 2001
Itzhak Bars
The physics that is traditionally formulated in one--time-physics (1T-physics) can also be formulated in two-time-physics (2T-physics). The physical phenomena in 1T or 2T physics a…
U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory
Itzhak Bars
A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2 dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes the foundation for the fiel…
Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
I. Bars, M. M. Sheikh-Jabbari, M. Vasiliev
The extension of the noncommutative u*(N) Lie algebra to noncommutative orthogonal and symplectic Lie algebras is studied. Using an anti-automorphism of the star-matrix algebra, we…
Noncommutative Sp(2,R) Gauge Theories - A Field Theory Approach to Two-Time Physics
Itzhak Bars, Soo-Jong Rey
Phase-space and its relativistic extension is a natural space for realizing Sp(2,R) symmetry through canonical transformations. On a Dx2 dimensional covariant phase-space, we formu…