ar X iv : h ep - t h / 97 03 10 8 v 1 1 4 M ar 1 99 7 ADJOINT QCD 2 IN LARGE N 1 Stephen Pinsky
نویسنده
چکیده
We consider a dimensional reduction of 3+1 dimensional SU(N) YangMills theory coupled to adjoint fermions to obtain a class of 1 + 1 dimensional gauge theories. We derive the quantized light-cone Hamiltonian in the light-cone gauge A− = 0 and large-N limit, then solve for the masses, wavefunctions and of the color singlet boson and fermion boundstates. We find that the theory has many exact massless state that are similar to the t’Hooft pion. INTRODUCTION In this work [1], we start by considering QCD3+1 coupled to Dirac adjoint fermions. Here, the virtual creation of fermion-antifermion pairs is not suppressed in the large-N limit – in contrast to the case for fermions in the fundamental representation [2] – and so one may study the structure of boundstates beyond the valence quark (or quenched) approximation[1]. We also anticipate that the techniques employed here will have special interest in the context of solving supersymmetric matrix theories. The QCD3+1 theory coupled to adjoint fermions is reduced to a 1 + 1 dimensional field theory by stipulating that all fields are independent of the Talk presented at the 1997 Orbis Scientiae Conference Miami Beach Florida, January 25-28,1997; based on work done with F. Antonuccio
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