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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
arXiv Math
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이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.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 $\beta^{2}<8\pi$.
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