The 2D finite-volume sine-Gordon measure is constructed for β² < (6/7)·8π via a weak FBSDE/control problem, with an order-by-order renormalization-flow analysis valid for all β² < 8π.
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An FBSDE Construction of the Sine-Gordon EQFT for $\beta^{2} < \frac{6}{7}\, 8\pi$ and Perturbative Renormalization in the Full Subcritical Regime
The 2D finite-volume sine-Gordon measure is constructed for β² < (6/7)·8π via a weak FBSDE/control problem, with an order-by-order renormalization-flow analysis valid for all β² < 8π.