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

Joseph Ben Geloun (1, 2) , Vincent Rivasseau (3)

1 International Chair in Mathematical Physics and Applications
2 Perimeter Institute for Theoretical Physics [Waterloo]
3 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Joseph Ben Geloun, Vincent Rivasseau. Addendum to "A Renormalizable 4-Dimensional Tensor Field Theory". Communications in Mathematical Physics, 2013, 318, pp.69-109. ⟨10.1007/s00220-013-1703-4⟩. ⟨hal-00737985⟩