6 papers
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…
Twisted vortices in two-component Ginzburg-Landau theory
Lei Cao, Shouxin Chen
In this note, a brief introduction to the physical and mathematical background of the two-component Ginzburg-Landau theory is given. From this theory we derive a boundary value pro…
Multiple cosmic strings in Chern-Simons-Higgs theory with gravity
Lei Cao, Shouxin Chen
In this paper, we consider the self-dual equation arising from Abelian Chern-Simons-Higgs theory coupled to the Einstein equations over the plane and a compact surfa…
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…
Vortices and strings induced from a generalized Abelian Higgs model
Lei Cao, Shouxin Chen
In this note we construct self--dual vortices and cosmic strings from the generalized Abelian Higgs theory. A special model of the theory is of focused interest in which the Higgs…
Cosmic strings in a generalized linear formulation of gauge field theory
Lei Cao, Shouxin Chen
In this note we construct self-dual cosmic strings from a gauge field theory with a generalized linear formation of potential energy density. By integrating the Einstein equation,…