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High Energy Physics - Theory

arXiv:1805.01619 (hep-th)
[Submitted on 4 May 2018]

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

Authors:Joseph Ben Geloun, Tim A. Koslowski, Daniele Oriti, Antonio D. Pereira
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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.
Comments: 12 pages, 1 figure
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:1805.01619 [hep-th]
  (or arXiv:1805.01619v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.01619
Journal reference: Phys. Rev. D 97, 126018 (2018)
Related DOI: https://doi.org/10.1103/PhysRevD.97.126018

Submission history

From: Antonio Pereira Jr [view email]
[v1] Fri, 4 May 2018 06:23:54 UTC (30 KB)
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