Dynamics of critical vortices on the torus and on the plane

Gonzalez-Arroyo, Antonio; Ramos, Alberto

doi:10.1088/1126-6708/2007/01/054

Dynamics of critical vortices on the torus and on the plane

Oct, 2006

30 pages

Published in:

JHEP 01 (2007) 054

e-Print:

hep-th/0610294 [hep-th]

DOI:

10.1088/1126-6708/2007/01/054

Report number:

FTUAM-05-19,
IFT-UAM-CSIC-05-53

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Abstract:

We use the Bradlow parameter expansion to construct the metric tensor in the space of solutions of the Bogomolny equations for the Abelian Higgs model on a two-dimensional torus. Using this metric we study the dynamics and scattering of vortices on the torus within the geodesic approximation. For small torus volumes the metric is determined in terms of a small number of parameters. For large volumes the results provide a very precise approximation to the metric and dynamics on the plane.

Note:

Latex, 30 Pages, 6 figures Report-no: FTUAM-05-19: IFT-UAM/CSIC-05-53

Bogomolny equations
vortices
Abelian Higgs model
field theories in lower dimensions
solitons monopoles and instantons
gauge field theory: U(1)
Higgs model: abelian
space-time
vortex: scattering
torus

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