The Role of Conformal Symmetry in the Jackiw-Pi Model

Understand

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.