Static potential in scalar QED$_3$ with non-minimal coupling

Details Static potential in scalar QED$_3$ with non-minimal coupling Static potential in scalar QED$_3$ with non-minimal coupling

2006-08-30

arxiv.org/abs/hep-th/0608212v1

J.Phys.A39:11091-11099,2006

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures

Scientific paper

10.1088/0305-4470/39/35/010

Here we compute the static potential in scalar $QED_3$ at leading order in $1/N_f$. We show that the addition of a non-minimal coupling of Pauli-type ($\eps j^{\mu}\partial^{\nu}A^{\alpha}$), although it breaks parity, it does not change the analytic structure of the photon propagator and consequently the static potential remains logarithmic (confining) at large distances. The non-minimal coupling modifies the potential, however, at small charge separations giving rise to a repulsive force of short range between opposite sign charges, which is relevant for the existence of bound states. This effect is in agreement with a previous calculation based on M$\ddot{o}$ller scattering, but differently from such calculation we show here that the repulsion appears independently of the presence of a tree level Chern-Simons term which rather affects the large distance behavior of the potential turning it into constant.

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