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Functional Renormalisation Group analysis of Tensorial Group Field Theories on Rd

Geloun, J. B., Martini, R., & Oriti, D. (2016). Functional Renormalisation Group analysis of Tensorial Group Field Theories on Rd. Physical Review D, 94: 024017. doi:10.1103/PhysRevD.94.024017.

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### Creators

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Creators:
Geloun, Joseph Ben1, Author
Martini, Riccardo, Author
Oriti, Daniele2, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014
2Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201

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Free keywords: High Energy Physics - Theory, hep-th
Abstract: Rank-d Tensorial Group Field Theories are quantum field theories defined on a group manifold $G^{\times d}$, which represent a non-local generalization of standard QFT, and a candidate formalism for quantum gravity, since, when endowed with appropriate data, they can be interpreted as defining a field theoretic description of the fundamental building blocks of quantum spacetime. Their renormalisation analysis is crucial both for establishing their consistency as quantum field theories, and for studying the emergence of continuum spacetime and geometry from them. In this paper, we study the renormalisation group flow of two simple classes of TGFTs, defined for the group $G=\mathbb{R}$ for arbitrary rank, both without and with gauge invariance conditions, by means of functional renormalisation group techniques. The issue of IR divergences is tackled by the definition of a proper thermodynamic limit for TGFTs. We map the phase diagram of such models, in a simple truncation, and identify both UV and IR fixed points of the RG flow. Encouragingly, for all the models we study, we find evidence for the existence of a phase transition of condensation type.

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Dates: 2016-01-2920162016
Publication Status: Published in print
Pages: 43 pages, 9 figures
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Rev. Method: -
Identifiers: arXiv: 1601.08211
URI: http://arxiv.org/abs/1601.08211
DOI: 10.1103/PhysRevD.94.024017
Degree: -

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Title: Physical Review D
Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 94 Sequence Number: 024017 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258