Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory

Abstract

The Hamiltonian (gauge) symmetry generators of non-local (gauge) theories are presented. The construction is based on the d+1 dimensional space-time formulation of d dimensional non-local theories. The procedure is applied to U(1) space-time non-commutative gauge theory. In the Hamiltonian formalism the Hamiltonian and the gauge generator are constructed. The nilpotent BRST charge is also obtained. The Seiberg-Witten map between non-commutative and commutative theories is described by a canonical transformation in the superphase space and in the field-antifield space. The solutions of classical master equations for non-commutative and commutative theories are related by a canonical transformation in the antibracket sense.

27 page, no figure, Clarifications have been made with additional references

References in corpus (8)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• On Theories With Light-Like Noncommutativity
• OM Theory in Diverse Dimensions
• Hamiltonian Formalism for Space-time Non-commutative Theories
• Stringy Fuzziness as the Custodian of Time-Space Noncommutativity
• Rigid and gauge Noether symmetries for constrained systems
• A Note on Non-Locality and Ostrogradski's Construction
• BFV-BRST analysis of equivalence between noncommutative and ordinary gauge theories

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