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Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville String

We present a Liouville-string approach to confinement in four-dimensional gauge theories, which extends previous approaches to include non-conformal theories. We consider Liouville field theory on world sheets whose boundaries are the Wilson loops of gauge theory, which exhibit vortex and spike defe...

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Autores principales: Ellis, John R., Mavromatos, N.E.
Lenguaje:eng
Publicado: 1998
Materias:
Acceso en línea:https://dx.doi.org/10.1142/S0217751X99001743
http://cds.cern.ch/record/363523
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author Ellis, John R.
Mavromatos, N.E.
author_facet Ellis, John R.
Mavromatos, N.E.
author_sort Ellis, John R.
collection CERN
description We present a Liouville-string approach to confinement in four-dimensional gauge theories, which extends previous approaches to include non-conformal theories. We consider Liouville field theory on world sheets whose boundaries are the Wilson loops of gauge theory, which exhibit vortex and spike defects. We show that world-sheet vortex condensation occurs when the Wilson loop is embedded in four target space-time dimensions, and show that this corresponds to the condensation of gauge magnetic monopoles in target space. We also show that vortex condensation generates a effective string tension corresponding to the confinement of electric degrees of freedom. The tension is independent of the string length in a gauge theory whose electric coupling varies logarithmically with the length scale. The Liouville field is naturally interpreted as an extra target dimension, with an anti-de-Sitter (AdS) structure induced by recoil effects on the gauge monopoles, interpreted as D branes of the effective string theory. Black holes in the bulk AdS space correspond to world-sheet defects, so that phases of the bulk gravitational system correspond to the different world-sheet phases, and hence to different phases of the four-dimensional gauge theory. Deconfinement is associated with a Berezinskii-Kosterlitz-Thouless transition of vortices on the Wilson-loop world sheet, corresponding in turn to a phase transition of the black holes in the bulk AdS space.
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spelling cern-3635232023-03-14T18:19:40Zdoi:10.1142/S0217751X99001743http://cds.cern.ch/record/363523engEllis, John R.Mavromatos, N.E.Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville StringParticle Physics - TheoryWe present a Liouville-string approach to confinement in four-dimensional gauge theories, which extends previous approaches to include non-conformal theories. We consider Liouville field theory on world sheets whose boundaries are the Wilson loops of gauge theory, which exhibit vortex and spike defects. We show that world-sheet vortex condensation occurs when the Wilson loop is embedded in four target space-time dimensions, and show that this corresponds to the condensation of gauge magnetic monopoles in target space. We also show that vortex condensation generates a effective string tension corresponding to the confinement of electric degrees of freedom. The tension is independent of the string length in a gauge theory whose electric coupling varies logarithmically with the length scale. The Liouville field is naturally interpreted as an extra target dimension, with an anti-de-Sitter (AdS) structure induced by recoil effects on the gauge monopoles, interpreted as D branes of the effective string theory. Black holes in the bulk AdS space correspond to world-sheet defects, so that phases of the bulk gravitational system correspond to the different world-sheet phases, and hence to different phases of the four-dimensional gauge theory. Deconfinement is associated with a Berezinskii-Kosterlitz-Thouless transition of vortices on the Wilson-loop world sheet, corresponding in turn to a phase transition of the black holes in the bulk AdS space.We present a Liouville-string approach to confinement in four-dimensional gauge theories, which extends previous approaches to include non-conformal theories. We consider Liouville field theory on world sheets whose boundaries are the Wilson loops of gauge theory, which exhibit vortex and spike defects. We show that world-sheet vortex condensation occurs when the Wilson loop is embedded in four target space-time dimensions, and show that this corresponds to the condensation of gauge magnetic monopoles in target space. We also show that vortex condensation generates a effective string tension corresponding to the confinement of electric degrees of freedom. The tension is independent of the string length in a gauge theory whose electric coupling varies logarithmically with the length scale. The Liouville field is naturally interpreted as an extra target dimension, with an anti-de-Sitter (AdS) structure induced by recoil effects on the gauge monopoles, interpreted as D branes of the effective string theory. Black holes in the bulk AdS space correspond to world-sheet defects, so that phases of the bulk gravitational system correspond to the different world-sheet phases, and hence to different phases of the four-dimensional gauge theory. Deconfinement is associated with a Berezinskii-Kosterlitz-Thouless transition of vortices on the Wilson-loop world sheet, corresponding in turn to a phase transition of the black holes in the bulk AdS space.hep-th/9808172CERN-TH-98-264OUTP-98-36-PCERN-TH-98-264OUTP-98-36-Poai:cds.cern.ch:3635231998-08-31
spellingShingle Particle Physics - Theory
Ellis, John R.
Mavromatos, N.E.
Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville String
title Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville String
title_full Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville String
title_fullStr Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville String
title_full_unstemmed Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville String
title_short Confinement in Gauge Theories from the Condensation of World-Sheet Defects in Liouville String
title_sort confinement in gauge theories from the condensation of world-sheet defects in liouville string
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/S0217751X99001743
http://cds.cern.ch/record/363523
work_keys_str_mv AT ellisjohnr confinementingaugetheoriesfromthecondensationofworldsheetdefectsinliouvillestring
AT mavromatosne confinementingaugetheoriesfromthecondensationofworldsheetdefectsinliouvillestring