https://doi.org/10.1140/epjc/s10052-015-3596-1
Regular Article - Theoretical Physics
Topological vortices in generalized Born–Infeld–Higgs electrodynamics
1
Departamento de Física, Universidade Federal do Maranhão, São Luís, Maranhão, 65080-805, Brazil
2
Coordenadoria Interdisciplinar de Ciência e Tecnologia, Universidade Federal do Maranhão, São Luís, Maranhão, 65080-805, Brazil
3
Department of Physics, Center for Field Theory and Particle Physics, Fudan University, 220 Handan Road, Shanghai, 200433, China
4
Centro de Física e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, 4169-007, Porto, Portugal
* e-mail: drubiera@fudan.edu.cn
Received:
4
May
2015
Accepted:
30
July
2015
Published online:
22
August
2015
A consistent BPS formalism to study the existence of topological axially symmetric vortices in generalized versions of the Born–Infeld–Higgs electrodynamics is implemented. Such a generalization modifies the field dynamics via the introduction of three nonnegative functions depending only in the Higgs field, namely, 
, 
, and 
. A set of first-order differential equations is attained when these functions satisfy a constraint related to the Ampère law. Such a constraint allows one to minimize the system’s energy in such way that it becomes proportional to the magnetic flux. Our results provides an enhancement of the role of topological vortex solutions in Born–Infeld–Higgs electrodynamics. Finally, we analyze a set of models entailing the recovery of a generalized version of Maxwell–Higgs electrodynamics in a certain limit of the theory.
© The Author(s), 2015
