Dynamics of fermions coupling to a U(1) gauge field in the limit e(2)->infinity - art. no. 245109

In this paper we study the properties of a gas of fermions coupling to a U( 1) gauge field at wave vectors q<<Lambda><<k(F) at dimensions larger than 1 , where Lambda<<k(F) is a high-momentum cutoff and k(F) is the Fermi wave v ector. In particular, we shall consider the e(2)-->infinity limit, where ch arge and current fluctuations at wave vectors q<<Lambda> are forbidden. By generalizing a method reported in a previous paper [Phys. Rev. B 62, 7019 ( 2000)], we show that the system can be described as a "marginal" Fermi Liqu id of spin 1/2; chargeless fermions with vanishing wave functions overlap w ith the bare fermions in the system.