3 papers
math.AP2026
Global well-posedness for generalized parabolic Anderson model on the whole plane
Hao Shen, Rongchan Zhu, Xiangchan Zhu
For every \(0<κ<\sqrt{5}-2\), we prove global existence for the two-dimensional generalized parabolic Anderson model on the whole plane with nonlinearity $F\in C_b^2(…
math.PR2025
Makeenko-Migdal equations for lattice Yang-Mills-Higgs
Hao Shen, Scott Andrew Smith, Rongchan Zhu
We derive a form of master loop equations for the lattice Yang-Mills-Higgs theory with structure group , or . Compared to the pure Yang-Mills setting, several…
math-ph2025
Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum
Hao Shen, Scott A. Smith, Rongchan Zhu
In this paper, we prove the convergence of the discrete Makeenko-Migdal equations for the Yang-Mills model on to their continuum counterparts on the…