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research article

Confined vortices in topologically massive U(1) x U(1) theory

Anber, Mohamed M.
•
Burnier, Yannis  
•
Sabancilar, Eray  
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2015
Physical Review D [1970-2015]

We report on a new topological vortex solution in U(1) x U(1) Maxwell-Chern-Simons theory. The existence of the vortex is envisaged by analytical means, and a numerical solution is obtained by integrating the equations of motion. These vortices have a long-range force because one of the U(1)'s remains unbroken in the infrared, which is guarded by the Coleman-Hill theorem. The sum of the winding numbers of an ensemble of vortices has to vanish; otherwise the system would have a logarithmically divergent energy. In turn, these vortices exhibit classical confinement. We investigate the rich parameter space of the solutions, and show that one recovers the Abrikosov-Nielsen-Olesen, U(1) Maxwell-Chern-Simons, U(1) pure Chern-Simons, and global vortices as various limiting cases. Unlike these limiting cases, the higher winding solutions of our vortices carry noninteger charges under the broken U(1). This is the first vortex solution exhibiting such behavior.

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Type
research article
DOI
10.1103/PhysRevD.92.065013
Web of Science ID

WOS:000361303700008

Author(s)
Anber, Mohamed M.
Burnier, Yannis  
Sabancilar, Eray  
Shaposhnikov, Mikhail  
Date Issued

2015

Publisher

American Physical Society

Published in
Physical Review D [1970-2015]
Volume

92

Issue

6

Article Number

065013

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LPPC  
Available on Infoscience
December 2, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/121231
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