The spectrum of states with one current acting on the adjoint vacuum of massless QCD2

A. Abrashkin; Y. Frishman; J. Sonnenschein

doi:10.1016/j.nuclphysb.2004.10.019

paper

The spectrum of states with one current acting on the adjoint vacuum of massless QCD2

arXiv:hep-th/0405165 · doi:10.1016/j.nuclphysb.2004.10.019

Abstract

We consider a ``one current'' state, which is obtained by the application of a color current on the ``adjoint'' vacuum. This is done in $QC D_{2}$ , with the underlying quarks in the fundamental representation. The quarks are taken to be massless, in which case the theory on the light-front can be ``currentized'', namely, formulated in terms of currents only. The adjoint vacuum is shown to be the application of a current derivative, at zero momentum, on the singlet vacuum. We apply the operator $M^{2} = 2 P^{+} P^{-}$ on these states and find that in general they are not eigenstates of $M^{2}$ apart from the large $N_{f}$ limit. Problems with infra-red regularizations are pointed out. We discuss the fermionic structure of these states.

18 pages, no figures. v2: minor corrections. v3: added some clarifications and remarks, mainly on the contribution of zero modes. Typos corrected, references added. To appear in Nuclear Physics B

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On the Spectrum of QCD(1+1) with SU(N_c) Currents

The spectrum of states with one current acting on the adjoint vacuum of massless QCD2

Abstract

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