Continuum limit in matrix models for quantum gravity from the functional renormalization group

• Verfasst von: Eichhorn, Astrid [VerfasserIn]
• Verfasst von: Koslowski, Tim Andreas [VerfasserIn]
• Titel: Continuum limit in matrix models for quantum gravity from the functional renormalization group
• Verf.angabe: Astrid Eichhorn and Tim Koslowski
• Fussnoten: Gesehen am 11.01.2018
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2013
• Band/Heft Quelle: (2013) Artikel-Nummer 1309.1690, 16 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1567062199

Abstract

We consider the double-scaling limit in matrix models for two-dimensional quantum gravity, and establish the nonperturbative functional Renormalization Group as a novel technique to compute the corresponding interacting fixed point of the Renormalization Group flow. We explicitly evaluate critical exponents and compare to the exact results. The functional Renormalization Group method allows a generalization to tensor models for higher-dimensional quantum gravity and to group field theories. As a simple example how this method works for such models, we compute the leading-order beta function for a colored matrix model that is inspired by recent developments in tensor models.