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Exact Renormalisation Group Equations and Loop Equations for Tensor Models

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arxiv 1603.00172 v2 pith:7JN76KK3 submitted 2016-03-01 gr-qc hep-th

classification gr-qchep-th
keywords equationsgroupmodelstensorexactlooprenormalisationfield
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In this paper, we review some general formulations of exact renormalisation group equations and loop equations for tensor models and tensorial group field theories. We illustrate the use of these equations in the derivation of the leading order expectation values of observables in tensor models. Furthermore, we use the exact renormalisation group equations to establish a suitable scaling dimension for interactions in Abelian tensorial group field theories with a closure constraint. We also present analogues of the loop equations for tensor models.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Additional constraints for the tensor bootstrap

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.

  2. Multiple-Order Tensor Field Theory: Enumeration of unitary invariant observables

    math-ph 2025-05 conditional novelty 6.0 of 10

    A Burnside-based enumeration formula, Theorem 4, counts unitary invariant tensor contractions built from fields of multiple orders, recovers known fixed-order counts as a special case, and generates new integer sequences.

  3. Asymptotically safe quantum gravity and its phenomenology -- a review

    hep-th 2026-06 unverdicted novelty 1.0 of 10

    Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.

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