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Phase structure of four dimensional simplicial quantum gravity

We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power...

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Detalles Bibliográficos
Autores principales: Catterall, S., Kogut, John B., Renken, R.
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(94)91480-X
http://cds.cern.ch/record/257998
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author Catterall, S.
Kogut, John B.
Renken, R.
author_facet Catterall, S.
Kogut, John B.
Renken, R.
author_sort Catterall, S.
collection CERN
description We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1/2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak
id cern-257998
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2579982023-03-14T20:45:41Zdoi:10.1016/0370-2693(94)91480-Xhttp://cds.cern.ch/record/257998engCatterall, S.Kogut, John B.Renken, R.Phase structure of four dimensional simplicial quantum gravityGeneral Theoretical PhysicsWe present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1/2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peakWe present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1/2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peakWe present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1/2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peakWe present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling of the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1 2 . We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.hep-lat/9401026CERN-TH-7149-94ILL-TH-94-26CERN-TH-7149-94ILL-TH-94-26oai:cds.cern.ch:2579981994-01-24
spellingShingle General Theoretical Physics
Catterall, S.
Kogut, John B.
Renken, R.
Phase structure of four dimensional simplicial quantum gravity
title Phase structure of four dimensional simplicial quantum gravity
title_full Phase structure of four dimensional simplicial quantum gravity
title_fullStr Phase structure of four dimensional simplicial quantum gravity
title_full_unstemmed Phase structure of four dimensional simplicial quantum gravity
title_short Phase structure of four dimensional simplicial quantum gravity
title_sort phase structure of four dimensional simplicial quantum gravity
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0370-2693(94)91480-X
http://cds.cern.ch/record/257998
work_keys_str_mv AT catteralls phasestructureoffourdimensionalsimplicialquantumgravity
AT kogutjohnb phasestructureoffourdimensionalsimplicialquantumgravity
AT renkenr phasestructureoffourdimensionalsimplicialquantumgravity