Space-time tunneling bosonization: An application to theN-coupled Luttinger chains

The space-time tunneling bosonization has been introduced to study N-coupled Luttinger liquids. The interaction is separated into a forward exchange and a cooperon part. At T=0 the cooperon part is described by tunneling events which form a Coulomb gas in the plasma phase. At T\ensuremath{\ne}0 we ignore the cooperon part and show that the correlation functions show a Luttinger-liquid behavior. In the limit N\ensuremath{\rightarrow}\ensuremath{\infty}, we extract the two-dimensional behavior and show that for a certain range of parameters the Luttinger liquid survives.