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

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

2000-09-20

arxiv.org/abs/hep-th/0009158v2

JHEP 0103 (2001) 010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2001/03/010

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.

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