3 papers
math-ph2025
Vortices for the magnetic Ginzburg-Landau theory in curved space
Lei Cao, Yilu Xu, Shouxin Chen
Since the Ginzburg-Landau theory is concerned with macroscopic phenomena, and gravity affects how objects interact at the macroscopic level. It becomes relevant to study the Ginzbu…
math.AP2024
Existence of non-Abelian vortices in a coupled 4D-2D quantum field theory
Yilu Xu, Shouxin Chen
Vortices produce locally concentrated field configurations and are solutions to the nonlinear partial differential equations systems of complicated structures. In this paper, we es…
math-ph2024
Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor
Lei Cao, Yilu Xu
In this paper, we use a modified Abelian field strength tensor in Georgi-Glashow model and obtain a new Julia-Zee dyon equations which degenerated into the 't Hooft-Polyakov monopo…