Scheme independence and the exact renormalization group

We compute critical exponents in a Z_2 symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expan...

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Detalles Bibliográficos
Autores principales: Ball, Richard D., Haagensen, Peter E., Latorre, Jose I., Moreno, Enrique
Lenguaje:eng
Publicado: 1994
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(95)00025-G
http://cds.cern.ch/record/272094
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author Ball, Richard D.
Haagensen, Peter E.
Latorre, Jose I.
Moreno, Enrique
author_facet Ball, Richard D.
Haagensen, Peter E.
Latorre, Jose I.
Moreno, Enrique
author_sort Ball, Richard D.
collection CERN
description We compute critical exponents in a Z_2 symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2720942023-03-14T18:59:47Zdoi:10.1016/0370-2693(95)00025-Ghttp://cds.cern.ch/record/272094engBall, Richard D.Haagensen, Peter E.Latorre, Jose I.Moreno, EnriqueScheme independence and the exact renormalization groupParticle Physics - TheoryWe compute critical exponents in a Z_2 symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.We compute critical exponents in a $Z_2$ symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.We compute critical exponents in a $Z_2$ symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.We compute critical exponents in a $Z_2$ symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.We compute critical exponents in a Z 2 symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.hep-th/9411122CERN-TH-7482-94UB-ECM-PF-94-32MCGILL-94-54CERN-TH-7482-94MCGILL-94-54UB-ECM-PF-94-32oai:cds.cern.ch:2720941994-11-16
spellingShingle Particle Physics - Theory
Ball, Richard D.
Haagensen, Peter E.
Latorre, Jose I.
Moreno, Enrique
Scheme independence and the exact renormalization group
title Scheme independence and the exact renormalization group
title_full Scheme independence and the exact renormalization group
title_fullStr Scheme independence and the exact renormalization group
title_full_unstemmed Scheme independence and the exact renormalization group
title_short Scheme independence and the exact renormalization group
title_sort scheme independence and the exact renormalization group
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(95)00025-G
http://cds.cern.ch/record/272094
work_keys_str_mv AT ballrichardd schemeindependenceandtheexactrenormalizationgroup
AT haagensenpetere schemeindependenceandtheexactrenormalizationgroup
AT latorrejosei schemeindependenceandtheexactrenormalizationgroup
AT morenoenrique schemeindependenceandtheexactrenormalizationgroup

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