u⋆(1,1)noncommutative gauge theory as the foundation of two-time physics in field theory
نویسندگان
چکیده
منابع مشابه
Noncommutative Gauge Theory As The Foundation of 2 T - Physics in Field Theory
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 field theoretic formulation of Two-Time Physics. This leads to a remarkable unification of several gauge principles in d dimensions, including Maxwell, Einstein and high spin gauge principles, packaged together into...
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A field theory formulation of two-time physics in d + 2 dimensions is obtained from the covariant quantization of the constraint system associated with the OSp(n|2) worldline gauge symmetries of two-time physics. Interactions among fields can then be included consistently with the underlying gauge symmetries. Through this process a relation between Dirac’s work in 1936 on conformal symmetry in ...
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Phase-space and its relativistic extension is a natural space for realizing Sp(2,R) symmetry through canonical transformations. On a D×2 dimensional covariant phase-space, we formulate noncommutative field theories, where Sp(2,R) plays a role as either a global or a gauge symmetry group. In both cases these field theories have potential applications, including certain aspects of string theories...
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We construct a field theoretic version of 2T-physics including interactions in an action formalism. The approach is a BRST formulation based on the underlying Sp(2, R) gauge symmetry, and shares some similarities with the approach used to construct string field theory. In our first case of spinless particles, the interaction is uniquely determined by the BRST gauge symmetry, and it is different...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2001
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.64.126001