Model for SU(3) vacuum degeneracy using light-cone coordinates

Details Model for SU(3) vacuum degeneracy using light-cone coordinates Model for SU(3) vacuum degeneracy using light-cone coordinates

2001-01-11

arxiv.org/abs/hep-th/0101072v1

Phys.Rev. D63 (2001) 105012

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 5 figures

Scientific paper

10.1103/PhysRevD.63.105012

Working in light-cone coordinates, we study the zero-modes and the vacuum in a 2+1 dimensional SU(3) gauge model. Considering the fields as independent of the tranverse variables, we dimensionally reduce this model to 1+1 dimensions. After introducing an appropriate su(3) basis and gauge conditions, we extract an adjoint field from the model. Quantization of this adjoint field and field equations lead to two constrained and two dynamical zero-modes. We link the dynamical zero-modes to the vacuum by writing down a Schrodinger equation and prove the non-degeneracy of the SU(3) vacuum provided that we neglect the contribution of constrained zero-modes.

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