Functional Integral Approach to the N-Flavor Schwinger Model

✍ Scribed by C. Gattringer; E. Seiler

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 948 KB
• Volume: 233
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1994.1062

✦ Synopsis

We study massless (\mathrm{QED}_{2}) with (N) flavors using path integrals. We identify the sector that is generated by the (N^{2}) 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 (\pm N e), whereas charges that are nonzero (\bmod (N)) screen their confining forces and lead to nonvacuum sectors. Finally we identify operators that violate clustering and decompose the theory into clustering (\theta) vacua. 1994 Academic Press, Inc.