Towards phase transitions between discrete and continuum quantum spacetime from the renormalization group

A. Eichhorn, T. Koslowski

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We establish the functional renormalization group as an exploratory tool to investigate a possible phase transition between a pregeometric discrete phase and a geometric continuum phase in quantum gravity. In this paper, based on the analysis of Eichhorn and Koslowski [Phys. Rev. D 88, 0840156 (2013)], we study three new aspects of the double-scaling limit of matrix models as renormalization group fixed points. First, we investigate multicritical fixed points, which are associated with quantum gravity coupled to conformal matter. Second, we discuss an approximation that reduces the scheme dependence of our results as well as computational effort while giving good numerical results. This is a consequence of the approximation being a solution to the unitary Ward identity associated to the U(N) symmetry of the Hermitian matrix model. Third, we discuss a scenario that relates the double-scaling limit to fixed points of continuum quantum gravity.

Original languageEnglish
Article number104039
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume90
Issue number10
DOIs
Publication statusPublished - 2014

Fingerprint

Dive into the research topics of 'Towards phase transitions between discrete and continuum quantum spacetime from the renormalization group'. Together they form a unique fingerprint.

Cite this