On the Doubling Phenomenon in Lattice Chern-Simons Theories

We analyse the pure Chern-Simons theory on an Euclidean infinite lattice. We point out that, as a consequence of its symmetries, the Chern-Simons theory does not have an integrable kernel. Due to the linearity of the action in the derivatives, the situation is very similar to the one arising in the...

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Detalles Bibliográficos
Autores principales: Berruto, F., Diamantini, M.C., Sodano, P.
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/S0920-5632(01)01004-0
http://cds.cern.ch/record/476756
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author Berruto, F.
Diamantini, M.C.
Sodano, P.
author_facet Berruto, F.
Diamantini, M.C.
Sodano, P.
author_sort Berruto, F.
collection CERN
description We analyse the pure Chern-Simons theory on an Euclidean infinite lattice. We point out that, as a consequence of its symmetries, the Chern-Simons theory does not have an integrable kernel. Due to the linearity of the action in the derivatives, the situation is very similar to the one arising in the lattice formulation of fermionic theories. Doubling of bosonic degrees of freedom is removed by adding a Maxwell term with a mechanism similar to the one proposed by Wilson for fermionic models.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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spelling cern-4767562023-03-14T17:03:30Zdoi:10.1016/S0920-5632(01)01004-0http://cds.cern.ch/record/476756engBerruto, F.Diamantini, M.C.Sodano, P.On the Doubling Phenomenon in Lattice Chern-Simons TheoriesParticle Physics - LatticeWe analyse the pure Chern-Simons theory on an Euclidean infinite lattice. We point out that, as a consequence of its symmetries, the Chern-Simons theory does not have an integrable kernel. Due to the linearity of the action in the derivatives, the situation is very similar to the one arising in the lattice formulation of fermionic theories. Doubling of bosonic degrees of freedom is removed by adding a Maxwell term with a mechanism similar to the one proposed by Wilson for fermionic models.We analyse the pure Chern-Simons theory on an Euclidean infinite lattice. We point out that, as a consequence of its symmetries, the Chern-Simons theory does not have an integrable kernel. Due to the linearity of the action in the derivatives, the situation is very similar to the one arising in the lattice formulation of fermionic theories. Doubling of bosonic degrees of freedom is removed by adding a Maxwell term with a mechanism similar to the one proposed by Wilson for fermionic models.hep-lat/0011052DFUPG-53-00oai:cds.cern.ch:4767562001
spellingShingle Particle Physics - Lattice
Berruto, F.
Diamantini, M.C.
Sodano, P.
On the Doubling Phenomenon in Lattice Chern-Simons Theories
title On the Doubling Phenomenon in Lattice Chern-Simons Theories
title_full On the Doubling Phenomenon in Lattice Chern-Simons Theories
title_fullStr On the Doubling Phenomenon in Lattice Chern-Simons Theories
title_full_unstemmed On the Doubling Phenomenon in Lattice Chern-Simons Theories
title_short On the Doubling Phenomenon in Lattice Chern-Simons Theories
title_sort on the doubling phenomenon in lattice chern-simons theories
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0920-5632(01)01004-0
http://cds.cern.ch/record/476756
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AT diamantinimc onthedoublingphenomenoninlatticechernsimonstheories
AT sodanop onthedoublingphenomenoninlatticechernsimonstheories

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