The Physical Hilbert Space of SU(2) Lattice Gauge Theory

Details The Physical Hilbert Space of SU(2) Lattice Gauge Theory The Physical Hilbert Space of SU(2) Lattice Gauge Theory

2004-05-11

arxiv.org/abs/hep-lat/0405008v1

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, LaTex, no figures

Scientific paper

We solve the Gauss law of SU(2) lattice gauge theory using the harmonic oscillator prepotential formulation. We construct a generating function of a manifestly gauge invariant and orthonormal basis in the physical Hilbert space of (d+1) dimensional SU(2) lattice gauge theory. The resulting orthonormal physical states are given in closed form. The generalization to SU(N) gauge group is discussed.

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