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arXiv · 1507.03548

Renormalization and Hopf Algebraic Structure of the 5-Dimensional Quartic Tensor Field Theory

Remi Cocou Avohou·Vincent Rivasseau·Adrian Tanasa
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Abstract

This paper is devoted to the study of renormalization of the quartic melonic tensor model in dimension (=rank) five. We review the perturbative renormalization and the computation of the one loop beta function, confirming the asymptotic freedom of the model. We then define the Connes-Kreimer-like Hopf algebra describing the combinatorics of the renormalization of this model and we analyze in detail, at one- and two-loop levels, the Hochschild cohomology allowing to write the combinatorial Dyson-Schwinger equations. Feynman tensor graph Hopf subalgebras are also exhibited.

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Remi Cocou Avohou, Vincent Rivasseau, Adrian Tanasa. 2015-07-13. Renormalization and Hopf Algebraic Structure of the 5-Dimensional Quartic Tensor Field Theory. https://doi.org/10.1088/1751-8113/48/48/485204

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