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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...
Autores principales: | , |
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Lenguaje: | eng |
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2000
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Acceso en línea: | https://dx.doi.org/10.1016/S0370-2693(01)00125-3 http://cds.cern.ch/record/445304 |
_version_ | 1780895906950807552 |
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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. |
id | cern-445304 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2000 |
record_format | invenio |
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 |