(2021.06.09)Seiichiro Kusuoka:Construction of a non-Gaussian and rotation-invariant $\Phi ^4$-measure and associated flow on ^3$ through stochastic quantization----Academy of Mathematics and Systems Science

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Seiichiro Kusuoka，Kyoto University
Inviter:
Title:	Construction of a non-Gaussian and rotation-invariant $\Phi ^4$-measure and associated flow on ^3$ through stochastic quantization
Time & Venue:	2021.06.09 10:00-11:00 Zoom会议: 942 676 4296 密码：123456
Abstract:	We consider approximation of the $\Phi ^4_3$-measure on ${\mathbb R}^3$ by regularization and localization of the interaction, and prove the tightness of the measures of approximation sequence via stochastic quantization. As an advantage of our approximation, we are able to show the rotation invariance of the limit measure (the $\Phi ^4_3$-measure). This talk is based on a joint work with Sergio Albeverio.