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

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 \ham formalism the \ha...

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Detalles Bibliográficos
Autores principales: Gomis, Joaquim, Kamimura, Kiyoshi, Mateos, Toni
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2001/03/010
http://cds.cern.ch/record/461609
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author Gomis, Joaquim
Kamimura, Kiyoshi
Mateos, Toni
author_facet Gomis, Joaquim
Kamimura, Kiyoshi
Mateos, Toni
author_sort Gomis, Joaquim
collection CERN
description 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 \ham formalism the \ham 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4616092022-03-31T02:29:54Zdoi:10.1088/1126-6708/2001/03/010http://cds.cern.ch/record/461609engGomis, JoaquimKamimura, KiyoshiMateos, ToniGauge and BRST Generators for Space-Time Non-commutative U(1) TheoryParticle Physics - TheoryThe 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 \ham formalism the \ham 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.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.hep-th/0009158CERN-TH-2000-246UB-ECM-PF-00-10TOHO-FP-0068CERN-TH-2000-246UB-ECM-PF-2000-10TOHO-FP-2000-68oai:cds.cern.ch:4616092000-09-20
spellingShingle Particle Physics - Theory
Gomis, Joaquim
Kamimura, Kiyoshi
Mateos, Toni
Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
title Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
title_full Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
title_fullStr Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
title_full_unstemmed Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
title_short Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
title_sort gauge and brst generators for space-time non-commutative u(1) theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2001/03/010
http://cds.cern.ch/record/461609
work_keys_str_mv AT gomisjoaquim gaugeandbrstgeneratorsforspacetimenoncommutativeu1theory
AT kamimurakiyoshi gaugeandbrstgeneratorsforspacetimenoncommutativeu1theory
AT mateostoni gaugeandbrstgeneratorsforspacetimenoncommutativeu1theory

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