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2012

Addendum to "A Renormalizable 4-Dimensional Tensor Field Theory"

Geloun, Joseph Ben, Rivasseau, Vincent

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This note fills a gap in the article with title above [1].

We provide the proof of Equation (82) of Lemma 5 in [1] and thereby complete its power counting analysis with a more precise next-to-leading-order estimate.

Addendum to "A Renormalizable 4-Dimensional Tensor Field Theory" · Around

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V. Rivasseau, “Quantum Gravity and Renormalization: The Tensor Track,” AIP Conf. Proc. 1444
Original
2011
Earlier work this paper cites.
R. Gurau, “The Double Scaling Limit in Arbitrary Dimensions: A Toy Model,” Phys. Rev. D 84
Original
2011
Earlier work this paper cites.
V. Bonzom, R. Gurau, A. Riello and V. Rivasseau, “Critical behavior of colored tensor models in the large N limit,” Nucl. Phys. B 853
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2011
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Similar

J. Ben Geloun and V. Rivasseau, “A Renormalizable 4-Dimensional Tensor Field Theory,” Commun. Math. Phys. 2012, (DOI) 10.1007/s00220-012-1549-1, arXiv:1111.4997 [hep-th]
Original
2012
Cited alongside, same era.
V. Bonzom, R. Gurau and V. Rivasseau, “Random tensor models in the large N limit: Uncoloring the colored tensor models,” Phys. Rev. D 85
Original
2012
Cited alongside, same era.
J. Ben Geloun, “Two and four-loop β \beta -functions of rank 4 renormalizable tensor field theories,” arXiv:1205.5513 [hep-th]
Original
Cited in the paper.
J. Ben Geloun and D. O. Samary, “3D Tensor Field Theory: Renormalization and One-loop β \beta -functions,” arXiv:1201.0176 [hep-th]
Original
Cited in the paper.
J. Ben Geloun and E. R. Livine, “Some classes of renormalizable tensor models,” arXiv:1207.0416 [hep-th]
Original
Cited in the paper.
S. Carrozza, D. Oriti and V. Rivasseau, “Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions,” arXiv:1207.6734 [hep-th]
Original
Cited in the paper.
R. Gurau, “Universality for Random Tensors,” arXiv:1111.0519 [math.PR]
Original
Cited in the paper.

Then

R. Gurau and J. P. Ryan, “Colored Tensor Models - a review,” SIGMA 8
Original
2012
Closest in time.
R. Gurau, “The complete 1/N expansion of colored tensor models in arbitrary dimension,” Annales Henri Poincare 13
Original
2012
Closest in time.

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