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arxiv: 0706.2457 · v1 · submitted 2007-06-18 · 🧮 math-ph · math.MP

Constructive φ⁴ field theory without tears

classification 🧮 math-ph math.MP
keywords theoryclusterconstructiveconstructivelyeuclideanexpansionexpansionsfield
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We propose to treat the $\phi^4$ Euclidean theory constructively in a simpler way. Our method, based on a new kind of "loop vertex expansion", no longer requires the painful intermediate tool of cluster and Mayer expansions.

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