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

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

2004-05-19

arxiv.org/abs/hep-th/0405165v3

Nucl.Phys. B703 (2004) 320-332

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures. v2: minor corrections. v3: added some clarifications and remarks, mainly on the contribution of zero mod

Scientific paper

We consider a ``one current'' state, which is obtained by the application of a color current on the ``adjoint'' vacuum. This is done in $QCD_2$, 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 $M^2=2P^+P^-$ 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.

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