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The loop vertex expansion (LVE) is a constructive technique which uses only canonical combinatorial tools and no space-time dependent lattices.
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M. Disertori, R. Gurau, J. Magnen and V. Rivasseau, “Vanishing of Beta Function of Non Commutative Phi**4(4) Theory to all orders,” Phys. Lett. B 649
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D. Brydges and P. Federbush “A New Form of the Mayer Expansion in Classical Statistical Mechanics”, Journ. Math.Phys. 19 (1978) 2064
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