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Article Dans Une Revue Journal of Mathematical Physics Année : 2012

Constructive Renormalization for $\Phi^{4}_2$ Theory with Loop Vertex Expansion

Résumé

In this paper we construct the 2 dimensional Euclidean $\phi^4$ quantum field theory using the method of loop vertex expansion. We reproduce the results of standard constructive theory, for example the Borel summability of the Schwinger functions in the coupling constant. Our method should be also suitable for the future construction of Grosse-Wulkenhaar models on non-commutative space-time.

Dates et versions

hal-00587140 , version 1 (19-04-2011)

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Citer

Vincent Rivasseau, Zhituo Wang. Constructive Renormalization for $\Phi^{4}_2$ Theory with Loop Vertex Expansion. Journal of Mathematical Physics, 2012, 53, pp.042302. ⟨10.1063/1.4705689⟩. ⟨hal-00587140⟩
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