Cargando…

The exact renormalization group and approximation solutions

We investigate the structure of Polchinski's formulation of the flow equations for the continuum Wilson effective action. Reinterpretations in terms of I.R. cutoff greens functions are given. A promising non-perturbative approximation scheme is derived by carefully taking the sharp cutoff limit...

Descripción completa

Detalles Bibliográficos
Autor principal: Morris, Tim R.
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1142/S0217751X94000972
http://cds.cern.ch/record/252726
_version_ 1780885636806344704
author Morris, Tim R.
author_facet Morris, Tim R.
author_sort Morris, Tim R.
collection CERN
description We investigate the structure of Polchinski's formulation of the flow equations for the continuum Wilson effective action. Reinterpretations in terms of I.R. cutoff greens functions are given. A promising non-perturbative approximation scheme is derived by carefully taking the sharp cutoff limit and expanding in `irrelevancy' of operators. We illustrate with two simple models of four dimensional $\lambda \varphi^4$ theory: the cactus approximation, and a model incorporating the first irrelevant correction to the renormalized coupling. The qualitative and quantitative behaviour give confidence in a fuller use of this method for obtaining accurate results.
id cern-252726
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2527262023-10-04T06:02:37Zdoi:10.1142/S0217751X94000972http://cds.cern.ch/record/252726engMorris, Tim R.The exact renormalization group and approximation solutionsGeneral Theoretical PhysicsWe investigate the structure of Polchinski's formulation of the flow equations for the continuum Wilson effective action. Reinterpretations in terms of I.R. cutoff greens functions are given. A promising non-perturbative approximation scheme is derived by carefully taking the sharp cutoff limit and expanding in `irrelevancy' of operators. We illustrate with two simple models of four dimensional $\lambda \varphi^4$ theory: the cactus approximation, and a model incorporating the first irrelevant correction to the renormalized coupling. The qualitative and quantitative behaviour give confidence in a fuller use of this method for obtaining accurate results.We investigate the structure of Polchinski's formulation of the flow equations for the continuum Wilson effective action. Reinterpretations in terms of I.R. cutoff greens functions are given. A promising non-perturbative approximation scheme is derived by carefully taking the sharp cutoff limit and expanding in `irrelevancy' of operators. We illustrate with two simple models of four dimensional $\lambda \varphi~4$ theory: the cactus approximation, and a model incorporating the first irrelevant correction to the renormalized coupling. The qualitative and quantitative behaviour give confidence in a fuller use of this method for obtaining accurate results.hep-ph/9308265CERN-TH-6977-93SHEP-92-93-27CERN-TH-6977-93SHEP-92-93-27oai:cds.cern.ch:2527261994
spellingShingle General Theoretical Physics
Morris, Tim R.
The exact renormalization group and approximation solutions
title The exact renormalization group and approximation solutions
title_full The exact renormalization group and approximation solutions
title_fullStr The exact renormalization group and approximation solutions
title_full_unstemmed The exact renormalization group and approximation solutions
title_short The exact renormalization group and approximation solutions
title_sort exact renormalization group and approximation solutions
topic General Theoretical Physics
url https://dx.doi.org/10.1142/S0217751X94000972
http://cds.cern.ch/record/252726
work_keys_str_mv AT morristimr theexactrenormalizationgroupandapproximationsolutions
AT morristimr exactrenormalizationgroupandapproximationsolutions