Global well-posedness of the stochastic Abelian-Higgs equations in two dimensions

Autor:	Bringmann, Bjoern, Cao, Sky
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Probability 35R60 60H17
Druh dokumentu:	Working Paper
Popis:	We prove the global well-posedness of the stochastic Abelian-Higgs equations in two dimensions. The proof is based on a new covariant approach, which consists of two parts: First, we introduce covariant stochastic objects. The covariant stochastic objects and their multi-linear interactions are controlled using covariant heat kernel estimates. Second, we control nonlinear remainders using a covariant monotonicity formula, which is inspired by earlier work of Hamilton. Comment: 103 pages, fixed several minor errors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.16878 Zobrazit plný text záznamu View this record from Arxiv