Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-20
Nucl.Phys.B805:545-558,2008
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 15 figures
Scientific paper
10.1016/j.nuclphysb.2008.07.006
The Jackiw-Pi model in 2+1 dimensions is a non-relativistic conformal field theory of charged particles with point-like self-interaction. For specific values of the interaction strengths the classical theory possesses vortex and multi-vortex solutions, which are all degenerate in energy. We compute the full set of first-order perturbative quantum corrections. Only the coupling constant g^2 requires renormalization; the fields and electric charge e are not renormalized. It is shown that in general the conformal symmetries are broken by an anomalous contribution to the conservation law, proportional to the beta-function. However, the beta-function vanishes upon restricting the coupling constants to values g^2 = +/- e^2, which includes the case in which vortex solutions exist. Therefore the existence of vortices also guarantees the preservation of the conformal symmetries.
de Kok M. O.
van Holten Jan-Willem
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