Cargando…

Mind the gap

We discuss an optimisation criterion for the exact renormalisation group based on the inverse effective propagator, which displays a gap. We show that a simple extremisation of the gap stabilises the flow, leading to better convergence of approximate solutions towards the physical theory. This impro...

Descripción completa

Detalles Bibliográficos
Autor principal: Litim, Daniel F.
Lenguaje:eng
Publicado: 2001
Materias:
Acceso en línea:https://dx.doi.org/10.1142/S0217751X01004748
http://cds.cern.ch/record/497347
_version_ 1780897182694506496
author Litim, Daniel F.
author_facet Litim, Daniel F.
author_sort Litim, Daniel F.
collection CERN
description We discuss an optimisation criterion for the exact renormalisation group based on the inverse effective propagator, which displays a gap. We show that a simple extremisation of the gap stabilises the flow, leading to better convergence of approximate solutions towards the physical theory. This improves the reliability of truncations, most relevant for any high precision computation. These ideas are closely linked to the removal of a spurious scheme dependence and a minimum sensitivity condition. The issue of predictive power and a link to the Polchinski RG are discussed as well. We illustrate our findings by computing critical exponents for the Ising universality class.
id cern-497347
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
record_format invenio
spelling cern-4973472023-03-15T13:57:36Zdoi:10.1142/S0217751X01004748http://cds.cern.ch/record/497347engLitim, Daniel F.Mind the gapParticle Physics - TheoryWe discuss an optimisation criterion for the exact renormalisation group based on the inverse effective propagator, which displays a gap. We show that a simple extremisation of the gap stabilises the flow, leading to better convergence of approximate solutions towards the physical theory. This improves the reliability of truncations, most relevant for any high precision computation. These ideas are closely linked to the removal of a spurious scheme dependence and a minimum sensitivity condition. The issue of predictive power and a link to the Polchinski RG are discussed as well. We illustrate our findings by computing critical exponents for the Ising universality class.We discuss an optimisation criterion for the exact renormalisation group based on the inverse effective propagator, which displays a gap. We show that a simple extremisation of the gap stabilises the flow, leading to better convergence of approximate solutions towards the physical theory. This improves the reliability of truncations, most relevant for any high precision computation. These ideas are closely linked to the removal of a spurious scheme dependence and a minimum sensitivity condition. The issue of predictive power and a link to the Polchinski RG are discussed as well. We illustrate our findings by computing critical exponents for the Ising universality class.hep-th/0104221CERN-TH-2001-013oai:cds.cern.ch:4973472001-04-25
spellingShingle Particle Physics - Theory
Litim, Daniel F.
Mind the gap
title Mind the gap
title_full Mind the gap
title_fullStr Mind the gap
title_full_unstemmed Mind the gap
title_short Mind the gap
title_sort mind the gap
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/S0217751X01004748
http://cds.cern.ch/record/497347
work_keys_str_mv AT litimdanielf mindthegap