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The 1/N expansion of colored tensor models in arbitrary dimension
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In this paper we extend the 1/N expansion introduced in [1] to group field theories in arbitrary dimension and prove that only graphs corresponding to spheres S^D contribute to the leading order in the large N limit.
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Cited by 3 Pith papers
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Sextic tensor models with O(N)^r symmetry and r<5 have exactly three maximally-single-trace interaction vertices, and each yields a large N limit dominated by (generalized) melonic diagrams.
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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory
For the rank-4 φ6 tensorial group field theory, the authors derive a Ward-constrained renormalization group flow and report a nontrivial fixed point, but the fixed point's reported values violate their own consistency...
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