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Constructive Renormalization for $Φ^{4}_2$ Theory with Loop Vertex Expansion (1104.3443v3)
Published 18 Apr 2011 in math-ph, hep-th, and math.MP
Abstract: In this paper we construct the 2 dimensional Euclidean $\phi4$ 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.
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