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An analysis of the intermediate field theory of $T^4$ tensor model

Mathematical Physics 2015-06-22 v2 High Energy Physics - Theory math.MP

Abstract

In this paper we analyze the multi-matrix model arising from the intermediate field representation of the tensor model with all quartic melonic interactions. We derive the saddle point equation and the Schwinger-Dyson constraints. We then use them to describe the leading and next-to-leading eigenvalues distribution of the matrices.

Keywords

Cite

@article{arxiv.1409.5751,
  title  = {An analysis of the intermediate field theory of $T^4$ tensor model},
  author = {Viet Anh Nguyen and Stephane Dartois and Bertrand Eynard},
  journal= {arXiv preprint arXiv:1409.5751},
  year   = {2015}
}

Comments

16 pages, 2 figures