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Gauge Theory on a Quantum Phase Space

In this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to const...

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Detalles Bibliográficos
Autores principales: Alvarez-Gaume, Luis, Wadia, Spenta R.
Lenguaje:eng
Publicado: 2000
Materias:
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(01)00125-3
http://cds.cern.ch/record/445304
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author Alvarez-Gaume, Luis
Wadia, Spenta R.
author_facet Alvarez-Gaume, Luis
Wadia, Spenta R.
author_sort Alvarez-Gaume, Luis
collection CERN
description In this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4453042023-03-12T05:37:21Zdoi:10.1016/S0370-2693(01)00125-3http://cds.cern.ch/record/445304engAlvarez-Gaume, LuisWadia, Spenta R.Gauge Theory on a Quantum Phase SpaceParticle Physics - TheoryIn this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield.In this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield.In this Letter we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield.hep-th/0006219CERN-TH-2000-130TIFR-TH-00-33CERN-TH-2000-130TIFR-TH-2000-03oai:cds.cern.ch:4453042000-06-28
spellingShingle Particle Physics - Theory
Alvarez-Gaume, Luis
Wadia, Spenta R.
Gauge Theory on a Quantum Phase Space
title Gauge Theory on a Quantum Phase Space
title_full Gauge Theory on a Quantum Phase Space
title_fullStr Gauge Theory on a Quantum Phase Space
title_full_unstemmed Gauge Theory on a Quantum Phase Space
title_short Gauge Theory on a Quantum Phase Space
title_sort gauge theory on a quantum phase space
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0370-2693(01)00125-3
http://cds.cern.ch/record/445304
work_keys_str_mv AT alvarezgaumeluis gaugetheoryonaquantumphasespace
AT wadiaspentar gaugetheoryonaquantumphasespace