Functional Integral Approach to the N - Flavor Schwinger Model

We study massless QED2 with N flavors using path integrals. We identify the sector that is generated by the N2 classically conserved vector currents. One of them (the U(1) current) creates a massive particle, while the others create massless ones. We show that the mass spectrum obeys a Witten-Veneziano type formula. Two theorems on n-point functions clarify the structure of the Hilbert space. Evaluation of the Fredenhagen-Marcu order parameter indicates that a confining force exists only between charges that are integer multiples of ±Ne, whereas charges that are nonzero mod(N) screen their confining forces and lead to non-vacuum sectors. Finally we identify operators that violate clustering, and decompose the theory into clustering θ vacua. ∗ Also at Institut f. Theoretische Physik d. Universität Graz, Austria