Relativistic selfdual Chern-Simons vortices with adjoint coupling

Dunne, Gerald V.

doi:10.1016/0370-2693(94)90206-2

Relativistic selfdual Chern-Simons vortices with adjoint coupling

Gerald V. Dunne
(
- Connecticut U.
)

1994

7 pages

Published in:

Phys.Lett.B 324 (1994) 359-365

DOI:

10.1016/0370-2693(94)90206-2

View in:

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Abstract: (Elsevier)

We derive a set of self-duality equations for the nonabelian theory of a relativistic charged scalar field coupled to a Chern-Simons gauge field via adjoint coupling and with a specific sixth-order potential. Solutions to the self-duality equations saturate the lower bound on the energy, given by the gauge invariant relativistic charge, and the solutions are static in the sense that tr (φφ † ) is time independent. In the abelian limit this theory reduces to the self-dual Chern-Simons vortex model of Jackiw and Weinberg, and in the nonrelativistic limit this theory reduces to the theory of nonrelativistic adjoint coupling Chern-Simons vortices whose solutions are known to be intimately related with integrable models in two dimensions.

Chern-Simons term
gauge field theory: nonabelian
field theory: scalar
duality
vortex

References(21)

Figures(0)

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