The phase diagram of the multi-matrix model with ABAB interaction from functional renormalization

Astrid Eichhorn, Antonio D. Pereira, Andreas G.A. Pithis*

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Abstrakt

At criticality, discrete quantum-gravity models are expected to give rise to continuum spacetime. Recent progress has established the functional renormalization group method in the context of such models as a practical tool to study their critical properties and to chart their phase diagrams. Here, we apply these techniques to the multi-matrix model with ABAB interaction potentially relevant for Lorentzian quantum gravity in 3 dimensions. We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality and subjecting the technique to another strong test of its performance in discrete quantum gravity by comparing to known results.

OriginalsprogEngelsk
Artikelnummer131
TidsskriftThe Journal of High Energy Physics
Vol/bind2020
Udgave nummer12
Antal sider33
ISSN1126-6708
DOI
StatusUdgivet - dec. 2020

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