Two-dimensional QCD in the Coulomb gauge

Abstract

In the present paper we discuss various aspects of the 't Hooft model for two-dimensional QCD in the limit of infinite number of colours in the Coulomb gauge. The properties of mesonic excitations are addressed, with special attention paid to the pionic one. The twofold role of the pion is discussed: being a genuine quark-antiquark state it is also a Goldstone boson of two-dimensional QCD. In particular, it is demonstrated explicitly how the soft-pion theorems are satisfied. It is pointed out that the Coulomb-gauge choice seems to be indispensable in studies of hadronic observables with the pions involved.

Comments: LaTeX2e, 44 pages, 14 EPS figures, uses epsfig.sty, Russian translation available (included), to appear in Phys.Usp