R. Rajaraman, CURRENTS IN THE LOWEST LANDAU-LEVEL FIELD-THEORY WITH E-E INTERACTIONS, International journal of modern physics b, 8(6), 1994, pp. 777-788
We obtain expressions for the electric current in the Lowest Landau Le
vel field theory in the presence of a general (external as well as int
er-particle) interaction. This is done in the constrained Lagrangian f
ormulation and is an extension of results obtained by Martinez and Sto
ne for the external force case. However, we work directly with nonloca
l field equations rather than convert the Lagrangian into a local one
and use Noether's theorem.