1D Generalized Statistics Gas: A Gauge Theory Approach

Abstract

The gauge transformation shown in Eq. ( 12) in fact does not give a wave function obeying the free N-body Schrödinger equation as Eq. ( 13), in such a way that the "statistical" interaction cannot be removed.Nevertheless, this fact does not invalidate the main aim of the paper since the connection of this gauge theory with one-dimensional fermionic models has no relation to this.