Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh and Younes Zine
We present a simple PDE construction of the sine-Gordon measure below the first threshold (${\beta}^2 < 4\pi$), in both the finite and infinite volume settings, by studying the corresponding parabolic sine-Gordon model. We also establish pathwise global well-posedness of the hyperbolic sine-Gordon model in finite volume for ${\beta}^2 < 2\pi$.
Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh and Younes Zine. A simple construction of the sine-Gordon model via stochastic quantization. Papers of Massimiliano Gubinelli, 2024, version 1. https://mgubi.org/papers/paper/sine-gordon-simple-construction/
Licence: Creative Commons Attribution 4.0 International
Pin in the collection (SHA-512 of the inventory it fixes):
e7deee9499f0617e92139b4ecbd93dc33e0363c95ae54b433a199a96d122b2293b46534fe286994d316274833cbe892bb2ad121c732a5a8406168d5bfa56c9a3
Papers of Massimiliano Gubinelli: an OpenSheaf archive (format 0.1, a draft); this page is generated by opensheaf-py from the archive.