{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1361137045632801664.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.21468/scipostphys.5.4.040"}},{"identifier":{"@type":"URI","@value":"https://scipost.org/10.21468/SciPostPhys.5.4.040/pdf"}}],"dc:title":[{"@value":"Quantum gravity, renormalizability and diffeomorphism invariance"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>\n                    We show that the Wilsonian renormalization group (RG) provides a\nnatural regularisation of the Quantum Master Equation such that to first\norder the BRST algebra closes on local functionals spanned by the\neigenoperators with constant couplings. We then apply this to quantum\ngravity. Around the Gaussian fixed point, RG properties of the conformal\nfactor of the metric allow the construction of a Hilbert space\n                    <jats:inline-formula>\n                      <jats:tex-math>\\Ll</jats:tex-math>\n                    </jats:inline-formula>\n                    of\nrenormalizable interactions, non-perturbative in\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>\\hbar</jats:tex-math>\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\">\n                          <mml:mi>ℏ</mml:mi>\n                        </mml:math>\n                      </jats:alternatives>\n                    </jats:inline-formula>\n                    ,\nand involving arbitrarily high powers of the gravitational fluctuations.\nWe show that diffeomorphism invariance is violated for interactions that\nlie inside\n                    <jats:inline-formula>\n                      <jats:tex-math>\\Ll</jats:tex-math>\n                    </jats:inline-formula>\n                    ,\nin the sense that only a trivial quantum BRST cohomology exists for\ninteractions at first order in the couplings. However by taking a limit\nto the boundary of\n                    <jats:inline-formula>\n                      <jats:tex-math>\\Ll</jats:tex-math>\n                    </jats:inline-formula>\n                    ,\nthe couplings can be constrained to recover Newton’s constant, and\nstandard realisations of diffeomorphism invariance, whilst retaining\nrenormalizability. The limits are sufficiently flexible to allow this\nalso at higher orders. This leaves open a number of questions that\nshould find their answer at second order. We develop much of the\nframework that will allow these calculations to be performed.\n                  </jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1381137045632801664","@type":"Researcher","foaf:name":[{"@value":"Tim Morris"}],"jpcoar:affiliationName":[{"@value":"University of Southampton"}]}],"publication":{"prism:publicationName":[{"@value":"SciPost Physics"}],"dc:publisher":[{"@value":"Stichting SciPost"}],"prism:publicationDate":"2018-10-30","prism:volume":"5","prism:number":"4","prism:startingPage":"40"},"reviewed":"false","dc:rights":["https://creativecommons.org/licenses/by/4.0"],"url":[{"@id":"https://scipost.org/10.21468/SciPostPhys.5.4.040/pdf"}],"createdAt":"2018-10-30","modifiedAt":"2018-10-30","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/2050025942148304000","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"BRST in the exact renormalization group"}]},{"@id":"https://cir.nii.ac.jp/crid/2051151842060140160","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"QED in the exact renormalization group"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.21468/scipostphys.5.4.040"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptab142_references_DOI_QPPknRps1bTxXaScDthkt9PCCGt"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptz099_references_DOI_QPPknRps1bTxXaScDthkt9PCCGt"}]}