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Chern-Simons action for zero-mode supporting gauge fields in three dimensions

Recent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized values for gauge fields that lead to zero modes of the corresponding Dirac operator. Here we show that this conjecture is wr...

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Detalles Bibliográficos
Autores principales: Adam, C., Muratori, B., Nash, C.
Lenguaje:eng
Publicado: 2002
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.67.087703
http://cds.cern.ch/record/593955
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author Adam, C.
Muratori, B.
Nash, C.
author_facet Adam, C.
Muratori, B.
Nash, C.
author_sort Adam, C.
collection CERN
description Recent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized values for gauge fields that lead to zero modes of the corresponding Dirac operator. Here we show that this conjecture is wrong by constructing an explicit counter-example.
id cern-593955
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-5939552023-03-14T20:17:17Zdoi:10.1103/PhysRevD.67.087703http://cds.cern.ch/record/593955engAdam, C.Muratori, B.Nash, C.Chern-Simons action for zero-mode supporting gauge fields in three dimensionsParticle Physics - TheoryRecent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized values for gauge fields that lead to zero modes of the corresponding Dirac operator. Here we show that this conjecture is wrong by constructing an explicit counter-example.Recent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized values for gauge fields that lead to zero modes of the corresponding Dirac operator. Here we show that this conjecture is wrong by constructing an explicit counter-example.hep-th/0211276oai:cds.cern.ch:5939552002-11-28
spellingShingle Particle Physics - Theory
Adam, C.
Muratori, B.
Nash, C.
Chern-Simons action for zero-mode supporting gauge fields in three dimensions
title Chern-Simons action for zero-mode supporting gauge fields in three dimensions
title_full Chern-Simons action for zero-mode supporting gauge fields in three dimensions
title_fullStr Chern-Simons action for zero-mode supporting gauge fields in three dimensions
title_full_unstemmed Chern-Simons action for zero-mode supporting gauge fields in three dimensions
title_short Chern-Simons action for zero-mode supporting gauge fields in three dimensions
title_sort chern-simons action for zero-mode supporting gauge fields in three dimensions
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.67.087703
http://cds.cern.ch/record/593955
work_keys_str_mv AT adamc chernsimonsactionforzeromodesupportinggaugefieldsinthreedimensions
AT muratorib chernsimonsactionforzeromodesupportinggaugefieldsinthreedimensions
AT nashc chernsimonsactionforzeromodesupportinggaugefieldsinthreedimensions