Effect of Zero Modes on the Bound-State Spectrum in Light-Cone Quantisation

Details Effect of Zero Modes on the Bound-State Spectrum in Light-Cone Quantisation Effect of Zero Modes on the Bound-State Spectrum in Light-Cone Quantisation

1998-03-25

arxiv.org/abs/hep-th/9803204v1

Phys.Lett. B435 (1998) 189-198

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX with 5 postscript files

Scientific paper

10.1016/S0370-2693(98)00759-X

We study the role of bosonic zero modes in light-cone quantisation on the invariant mass spectrum for the simplified setting of two-dimensional SU(2) Yang-Mills theory coupled to massive scalar adjoint matter. Specifically, we use discretised light-cone quantisation where the momentum modes become discrete. Two types of zero momentum mode appear -- constrained and dynamical zero modes. In fact only the latter type of modes turn out to mix with the Fock vacuum. Omission of the constrained modes leads to the dynamical zero modes being controlled by an infinite square-well potential. We find that taking into account the wavefunctions for these modes in the computation of the full bound state spectrum of the two dimensional theory leads to 21% shifts in the masses of the lowest lying states.

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