Effective theory of a chiral quantum fluid

We consider an effective lagrangian describing a fluid living on two-dimensional planes. The fluid self-interacts through a Chern-Simons vector potential, whose field strength is proportional to the density fluctuation. This effective lagrangian can be considered to describe a universality class of quantum fluids which, when charged, have some features similar to superconductors. We study the relevant physical properties, including the spectrum, the chirality features appearing in the polarization of scattered EM waves, and the peculiar response under a magnetic field finding the penetration length, in a stack of many fluid's layers, finite or very large depending upon the geometry.