An FBSDE Construction of the Sine-Gordon EQFT for β2 < 67\, 8π and Perturbative Renormalization in the Full Subcritical Regime
Sarah-Jean Meyer
Abstract
We construct the sine-Gordon measure and its renormalized effective potential in finite volume up to the seventh threshold. The construction relies on a weak stochastic control problem, its associated weak FBSDE, and an analysis of the renormalization flow equation using a multipole Mayer expansion. The analysis is fully inductive, and we include a complete order-by-order analysis in the subcritical regime β2<8π.
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