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Universality and the Renormalisation Group
Several functional renormalisation group (RG) equations including Polchinski flows and Exact RG flows are compared from a conceptual point of view and in given truncations. Similarities and differences are highlighted with special emphasis on stability properties. The main observations are worked ou...
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Lenguaje: | eng |
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2005
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Acceso en línea: | https://dx.doi.org/10.1088/1126-6708/2005/07/005 http://cds.cern.ch/record/826771 |
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author | Litim, Daniel F. |
author_facet | Litim, Daniel F. |
author_sort | Litim, Daniel F. |
collection | CERN |
description | Several functional renormalisation group (RG) equations including Polchinski flows and Exact RG flows are compared from a conceptual point of view and in given truncations. Similarities and differences are highlighted with special emphasis on stability properties. The main observations are worked out at the example of O(N) symmetric scalar field theories where the flows, universal critical exponents and scaling potentials are compared within a derivative expansion. To leading order, it is established that Polchinski flows and ERG flows - despite their inequivalent derivative expansions - have identical universal content, if the ERG flow is amended by an adequate optimisation. The results are also evaluated in the light of stability and minimum sensitivity considerations. Extensions to higher order and further implications are emphasized. |
id | cern-826771 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2005 |
record_format | invenio |
spelling | cern-8267712023-03-14T20:27:15Zdoi:10.1088/1126-6708/2005/07/005http://cds.cern.ch/record/826771engLitim, Daniel F.Universality and the Renormalisation GroupParticle Physics - TheorySeveral functional renormalisation group (RG) equations including Polchinski flows and Exact RG flows are compared from a conceptual point of view and in given truncations. Similarities and differences are highlighted with special emphasis on stability properties. The main observations are worked out at the example of O(N) symmetric scalar field theories where the flows, universal critical exponents and scaling potentials are compared within a derivative expansion. To leading order, it is established that Polchinski flows and ERG flows - despite their inequivalent derivative expansions - have identical universal content, if the ERG flow is amended by an adequate optimisation. The results are also evaluated in the light of stability and minimum sensitivity considerations. Extensions to higher order and further implications are emphasized.Several functional renormalisation group (RG) equations including Polchinski flows and Exact RG flows are compared from a conceptual point of view and in given truncations. Similarities and differences are highlighted with special emphasis on stability properties. The main observations are worked out at the example of O(N) symmetric scalar field theories where the flows, universal critical exponents and scaling potentials are compared within a derivative expansion. To leading order, it is established that Polchinski flows and ERG flows - despite their inequivalent derivative expansions - have identical universal content, if the ERG flow is amended by an adequate optimisation. The results are also evaluated in the light of stability and minimum sensitivity considerations. Extensions to higher order and further implications are emphasized.hep-th/0503096SHEP-04-31CERN-PH-TH-2005-042CERN-PH-TH-2005-042SHEP-2004-31oai:cds.cern.ch:8267712005-03-10 |
spellingShingle | Particle Physics - Theory Litim, Daniel F. Universality and the Renormalisation Group |
title | Universality and the Renormalisation Group |
title_full | Universality and the Renormalisation Group |
title_fullStr | Universality and the Renormalisation Group |
title_full_unstemmed | Universality and the Renormalisation Group |
title_short | Universality and the Renormalisation Group |
title_sort | universality and the renormalisation group |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1088/1126-6708/2005/07/005 http://cds.cern.ch/record/826771 |
work_keys_str_mv | AT litimdanielf universalityandtherenormalisationgroup |