Coarse graining methods for spin net and spin foam models

dc.contributor.authorDittrich, Bianca
dc.contributor.authorEckert, Frank C.
dc.contributor.authorMartín Benito, Mercedes
dc.date.accessioned2024-02-05T12:34:02Z
dc.date.available2024-02-05T12:34:02Z
dc.date.issued2012-03-16
dc.description.abstractWe undertake first steps in making a class of discrete models of quantum gravity, spin foams, accessible to a large-scale analysis by numerical and computational methods. In particular, we apply the Migdal–Kadanoff and tensor network renormalization (TNR) schemes to spin net and spin foam models based on finite Abelian groups and introduce 'cutoff models' to probe the fate of gauge symmetries under various such approximated renormalization group flows. For the TNR analysis, a new Gauß constraint preserving algorithm is introduced to improve numerical stability and aid physical interpretation. We also describe the fixed point structure and establish the equivalence of certain models.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.statuspub
dc.identifier.doi10.1088/1367-2630/14/3/035008
dc.identifier.issn1367-2630
dc.identifier.officialurlhttps://iopscience.iop.org/article/10.1088/1367-2630/14/3/035008/meta
dc.identifier.relatedurlhttps://iopscience.iop.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/98930
dc.journal.titleNew Journal of Physics
dc.language.isoeng
dc.page.final035008-43
dc.page.initial035008-1
dc.publisherIOP Publishing
dc.rights.accessRightsopen access
dc.subject.cdu530.145
dc.subject.ucmTeoría de los quanta
dc.subject.unesco2212.12 Teoría Cuántica de Campos
dc.subject.unesco2212.05 Gravitación
dc.titleCoarse graining methods for spin net and spin foam models
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number14
dspace.entity.typePublication
relation.isAuthorOfPublicatione4763414-91cd-42f1-b41a-76fc60c6f215
relation.isAuthorOfPublication.latestForDiscoverye4763414-91cd-42f1-b41a-76fc60c6f215
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