Quantum Mechanics of Dynamical Zero Mode in $QCD_{1+1}$ on the Light-Cone

Details Quantum Mechanics of Dynamical Zero Mode in $QCD_{1+1}$ on the Light-Cone Quantum Mechanics of Dynamical Zero Mode in $QCD_{1+1}$ on the Light-Cone

1995-04-06

arxiv.org/abs/hep-th/9504026v1

Phys.Rev. D52 (1995) 6008-6015

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX file, no figures

Scientific paper

10.1103/PhysRevD.52.6008

Motivated by the work of Kalloniatis, Pauli and Pinsky, we consider the theory of light-cone quantized $QCD_{1+1}$ on a spatial circle with periodic and anti-periodic boundary conditions on the gluon and quark fields respectively. This approach is based on Discretized Light-Cone Quantization (DLCQ). We investigate the canonical structures of the theory. We show that the traditional light-cone gauge $A_- = 0$ is not available and the zero mode (ZM) is a dynamical field, which might contribute to the vacuum structure nontrivially. We construct the full ground state of the system and obtain the Schr\"{o}dinger equation for ZM in a certain approximation. The results obtained here are compared to those of Kalloniatis et al. in a specific coupling region.

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