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math-ph2025
Bogomol'nyi Equations and Coexistence of Vortices and Antivortices in Generalized Abelian Higgs Theories
Aonan Xu, Yisong Yang
We derive the Bogomol'nyi equations in generalized Abelian Higgs theories which allow the coexistence of vortices and antivortices over a compact Riemann surface or the full plane.…
math-ph2019
Solutions to the Minimization Problem Arising in a Dark Monopole Model in Gauge Field Theory
Xiangqin Zhang, Yisong Yang
We prove the existence of dark monopole solutions in a recently formulated Yang--Mills--Higgs theory model with technical features similar to the classical monopole problems. The s…
math-ph2018
Domain Wall Solitons Arising in Classical Gauge Field Theories
Lei Cao, Shouxin Chen, Yisong Yang
Domain wall solitons are basic constructs realizing phase transitions in various field-theoretical models and are solutions to some nonlinear ordinary differential equations descen…