Flowing to the continuum in discrete tensor models for quantum gravity

• Verfasst von: Eichhorn, Astrid [VerfasserIn]
• Verfasst von: Koslowski, Tim Andreas [VerfasserIn]
• Titel: Flowing to the continuum in discrete tensor models for quantum gravity
• Verf.angabe: Astrid Eichhorn and Tim Koslowski
• Fussnoten: Gesehen am 11.01.2018
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2017
• Band/Heft Quelle: (2017) Artikel-Nummer 1701.03029, 16 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1567057039

Abstract

Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions. As in the case of matrix models for two-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group fixed point in a setup where the tensor size N serves as the Renormalization Group scale. We develop functional Renormalization Group tools for tensor models with a main focus on a rank-3 model for three-dimensional quantum gravity. We rediscover the double-scaling limit and provide an estimate for the scaling exponent. Moreover, we identify two additional fixed points with a second relevant direction in a truncation of the Renormalization Group flow. The new relevant direction might hint at the presence of additional degrees of freedom in the corresponding continuum limit.