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  Functional Renormalization Group analysis of rank-3 tensorial group field theory: The full quartic invariant truncation

Ben Geloun, J., Koslowski, T. A., Oriti, D., & Pereira, A. D. (2018). Functional Renormalization Group analysis of rank-3 tensorial group field theory: The full quartic invariant truncation. Physical Review D, 97: 126018. doi:10.1103/PhysRevD.97.126018.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-5492-B Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E855-9
Genre: Journal Article

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 Creators:
Ben Geloun, Joseph1, Author              
Koslowski, Tim A., Author
Oriti, D.2, Author              
Pereira, Antonio D., 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,General Relativity and Quantum Cosmology, gr-qc
 Abstract: In this paper we consider the complete momentum-independent quartic order truncation for the effective average action of a real Abelian rank 3 tensorial group field theory. This complete truncation includes non-melonic as well as double-trace interactions. In the usual functional renormalization group perspective, the inclusion of more operators that belong to the underlying theory space corresponds to an improvement of the truncation of the effective average action. We show that the inclusion of non-melonic and double-trace operators in the truncation brings subtleties. In particular, we discuss the assignment of scaling dimensions to the non-melonic sector and how the inclusion of double-trace operators considerably changes the results for critical exponents when they are not included. We argue that this is not a particular problem of the present model by comparing the results with a pure tensor model. We discuss how these issues should be investigated in future work.

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 Dates: 2018-05-042018
 Publication Status: Published in print
 Pages: 12 pages, 1 figure
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1805.01619
URI: http://arxiv.org/abs/1805.01619
DOI: 10.1103/PhysRevD.97.126018
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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: 97 Sequence Number: 126018 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258