The Schrödinger functional: a renormalization probe for non-abelian gauge theories

Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It...

Descripción completa

Detalles Bibliográficos
Autores principales: Luscher, Martin, Narayanan, Rajamani, Weisz, Peter, Wolff, Ulli
Lenguaje:eng
Publicado: 1992
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(92)90466-O
http://cds.cern.ch/record/234177
_version_ 1780884473058951168
author Luscher, Martin
Narayanan, Rajamani
Weisz, Peter
Wolff, Ulli
author_facet Luscher, Martin
Narayanan, Rajamani
Weisz, Peter
Wolff, Ulli
author_sort Luscher, Martin
collection CERN
description Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schr\"odinger functional is carried through to 1-loop order.
id cern-234177
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1992
record_format invenio
spelling cern-2341772023-10-04T06:48:30Zdoi:10.1016/0550-3213(92)90466-Ohttp://cds.cern.ch/record/234177engLuscher, MartinNarayanan, RajamaniWeisz, PeterWolff, UlliThe Schrödinger functional: a renormalization probe for non-abelian gauge theoriesGeneral Theoretical PhysicsFollowing Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schr\"odinger functional is carried through to 1-loop order.Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schr\"odinger functional is carried through to 1-loop order.Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schr\"odinger functional is carried through to 1-loop order.Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schr\"odinger functional is carried through to 1-loop order.Following Symanzik we argue that the Schrödinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counterterms are required. The Schrödinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schrödinger functional is carried through to one-loop order.hep-lat/9207009DESY-92-025CERN-TH-6410-92CERN-TH-6410-92DESY-92-025oai:cds.cern.ch:2341771992
spellingShingle General Theoretical Physics
Luscher, Martin
Narayanan, Rajamani
Weisz, Peter
Wolff, Ulli
The Schrödinger functional: a renormalization probe for non-abelian gauge theories
title The Schrödinger functional: a renormalization probe for non-abelian gauge theories
title_full The Schrödinger functional: a renormalization probe for non-abelian gauge theories
title_fullStr The Schrödinger functional: a renormalization probe for non-abelian gauge theories
title_full_unstemmed The Schrödinger functional: a renormalization probe for non-abelian gauge theories
title_short The Schrödinger functional: a renormalization probe for non-abelian gauge theories
title_sort schrödinger functional: a renormalization probe for non-abelian gauge theories
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0550-3213(92)90466-O
http://cds.cern.ch/record/234177
work_keys_str_mv AT luschermartin theschrodingerfunctionalarenormalizationprobefornonabeliangaugetheories
AT narayananrajamani theschrodingerfunctionalarenormalizationprobefornonabeliangaugetheories
AT weiszpeter theschrodingerfunctionalarenormalizationprobefornonabeliangaugetheories
AT wolffulli theschrodingerfunctionalarenormalizationprobefornonabeliangaugetheories
AT luschermartin schrodingerfunctionalarenormalizationprobefornonabeliangaugetheories
AT narayananrajamani schrodingerfunctionalarenormalizationprobefornonabeliangaugetheories
AT weiszpeter schrodingerfunctionalarenormalizationprobefornonabeliangaugetheories
AT wolffulli schrodingerfunctionalarenormalizationprobefornonabeliangaugetheories

Ejemplares similares