Nonperturbative solution of Yukawa theory and gauge theories

Abstract

Recent progress in the nonperturbative solution of (3+1)-dimensional Yukawa theory and quantum electrodynamics (QED) and (1+1)-dimensional super Yang-Mills (SYM) theory will be summarized. The work on Yukawa theory has been extended to include two-boson contributions to the dressed fermion state and has inspired similar work on QED, where Feynman gauge has been found surprisingly convenient. In both cases, the theories are regulated in the ultraviolet by the inclusion of Pauli-Villars particles. For SYM theory, new high-resolution calculations of spectra have been used to obtain thermodynamic functions and improved results for a stress-energy correlator.

Comments: 13 pages, 2 figures, ws-procs9x6; to appear in the proceedings of the sixth workshop on Continuous Advances in QCD, Minneapolis, Minnesota, May 13-16, 2004