Gauge and BRST generators for space-time non-commutative U(1) theory View Full Text


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Article Info

DATE

2001-03-06

AUTHORS

Joaquim Gomis, Kiyoshi Kamimura, Toni Mateos

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. More... »

PAGES

010

Identifiers

URI

http://scigraph.springernature.com/pub.10.1088/1126-6708/2001/03/010

DOI

http://dx.doi.org/10.1088/1126-6708/2001/03/010

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1003380383


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