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arXiv · hep-th/0009158

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

Joaquim Gomis·Kiyoshi Kamimura·Toni Mateos
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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.

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Joaquim Gomis, Kiyoshi Kamimura, Toni Mateos. 2001-01-06. Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory. https://doi.org/10.1088/1126-6708%2F2001%2F03%2F010

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