Subleading critical exponents from the renormalisation group

We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are...

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Detalles Bibliográficos
Autores principales: Litim, Daniel F., Vergara, Lautaro
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2003.11.047
http://cds.cern.ch/record/676520
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author Litim, Daniel F.
Vergara, Lautaro
author_facet Litim, Daniel F.
Vergara, Lautaro
author_sort Litim, Daniel F.
collection CERN
description We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are derived for other cutoffs including smooth, sharp and background field cutoffs. An estimate for higher order corrections is given as well. We establish that the leading antisymmetric corrections to scaling are strongly subleading compared to the leading symmetric ones.
id cern-676520
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6765202023-03-14T18:16:31Zdoi:10.1016/j.physletb.2003.11.047http://cds.cern.ch/record/676520engLitim, Daniel F.Vergara, LautaroSubleading critical exponents from the renormalisation groupParticle Physics - TheoryWe study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are derived for other cutoffs including smooth, sharp and background field cutoffs. An estimate for higher order corrections is given as well. We establish that the leading antisymmetric corrections to scaling are strongly subleading compared to the leading symmetric ones.We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are derived for other cutoffs including smooth, sharp and background field cutoffs. An estimate for higher order corrections is given as well. We establish that the leading antisymmetric corrections to scaling are strongly subleading compared to the leading symmetric ones.We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson–Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are derived for other cutoffs including smooth, sharp and background field cutoffs. An estimate for higher order corrections is given as well. We establish that the leading antisymmetric corrections to scaling are strongly subleading compared to the leading symmetric ones.hep-th/0310101CERN-TH-2003-247USACH-2003-012CERN-TH-2003-247USACH-2003-012oai:cds.cern.ch:6765202003-10-10
spellingShingle Particle Physics - Theory
Litim, Daniel F.
Vergara, Lautaro
Subleading critical exponents from the renormalisation group
title Subleading critical exponents from the renormalisation group
title_full Subleading critical exponents from the renormalisation group
title_fullStr Subleading critical exponents from the renormalisation group
title_full_unstemmed Subleading critical exponents from the renormalisation group
title_short Subleading critical exponents from the renormalisation group
title_sort subleading critical exponents from the renormalisation group
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2003.11.047
http://cds.cern.ch/record/676520
work_keys_str_mv AT litimdanielf subleadingcriticalexponentsfromtherenormalisationgroup
AT vergaralautaro subleadingcriticalexponentsfromtherenormalisationgroup

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