Vortices in Bogomol’nyi Limit of Einstein Maxwell Higgs Theory with or without External Sources
نویسنده
چکیده
The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol’nyi-type bound. We find all possible cylindrically symmetric vortex solutions and vortex-particle composites by examining the Einstein equations and the firstorder Bogomol’nyi equations. The underlying spatial manifold of these objects comprises a cylinder asymptotically and a two sphere in addition to the well-known cone. ∗Present address: Department of Physics, Nagoya University, Nagoya 461-01, Japan, e-mail: [email protected]
منابع مشابه
Vortices in the Bogomol'nyi limit of Einstein-Maxwell-Higgs theory with or without external sources.
The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge elds and derive the Bogomol'nyi-type bound. We nd all possible cylindrically symmetric vortex solutions and vortex-particle composites by examining the Einstein equations and the rstorder Bogomol'nyi equations. The underlying spatia...
متن کاملBogomol'nyi equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs model.
We consider a generalization of the abelian Higgs model with a ChernSimons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction by considering generalized covariant derivative. We show that for a particular choice of the dielectric function this model admits both topological as well as ...
متن کاملThe spectrum of Bogomol’nyi solitons in gauged linear sigma models
Gauged linear sigma models with C-valued scalar fields and gauge group U(1), d ≤ m, have soliton solutions of Bogomol’nyi type if a suitably chosen potential for the scalar fields is also included in the Lagrangian. Here such models are studied on (2 + 1)-dimensional Minkowski space. If the dynamics of the gauge fields is governed by a Maxwell term the appropriate potential is a sum of generali...
متن کاملVortices in (abelian) Chern-Simons gauge theory
The vortex solutions of various classical planar field theories with (abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory with both topological and non-topological...
متن کاملDegenerate Topological Vortex solutions from a generalized Abelian Higgs Model with a Chern-Simons term
We consider a generalization of the abelian Higgs model with a ChernSimons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction by considering generalized covariant derivative. We show that for a particular choice of the dielectric function this model admits topological vortices satisfy...
متن کامل