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

Abstract

Motivated by the work of Kalloniatis, Pauli and Pinsky, we consider the theory of light-cone quantized $QC{D}_{1+1}$ 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 Schrödinger equation for ZM in a certain approximation. The results obtained here are compared to those of Kalloniatis et al. in a specific coupling region.

19 pages, LaTeX file, no figures

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Cited by in corpus (4)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Light-Front View of The Axial Anomaly
• Model for SU(3) vacuum degeneracy using light-cone coordinates