Light-front Quantized Chiral Schwinger Model and its Vacuum Structure

Abstract

The bosonized Chiral Schwinger model (CSM) is quantized on the light-front (LF). The physical Hilbert space of CSM is obtained directly once the constraints on the LF phase space are eliminated. The discussion of the degenerate vacua and the absence in the CSM of the $\theta$-vacua, as found in the Schwinger model (SM), becomes straightforward. The differences in the structures of the the mass excitations and the vacua in these gauge theories are displayed transparently. The procedure followed is the one used successfully in the previous works for describing the spontaneous symmetry breaking (SSB) and the SM on the LF. The physical contents following from the LF quantized theory agree with those known in the conventional treatment. The LF hyperplane is argued to be equally appropriate as the conventional equal-time one for the canonical quantization. Some comments on the irrelevance, in quantized field theory, of the fact that the hyperplanes $x^{\pm }=0$ constitute characteristic surfaces of hyperbolic partial differential equation are also made.

12 pages, plain Latex

Cited by in corpus (9)

• Light-Front-Quantized QCD in Light-Cone Gauge: The Doubly Transverse Gauge Propagator
• A Unitary and Renormalizable Theory of the Standard Model in Ghost-Free Light-Cone Gauge
• Discrete Symmetries on the Light Front and a General Relation Connecting Nucleon Electric Dipole and Anomalous Magnetic Moments
• A Dynamical Principle For 3D-4D Interlinkage In Salpeter-like Equations
• Light-Front-Quantized QCD in Covariant Gauge
• Light-cone quantization of two dimensional field theory in the path integral approach
• Reply to "Comment on 'Light-Front Schwinger Model at Finite Temperature'"
• On the indistinguishability of Chiral QED with parameter-free Faddeevian anomaly and QED under a chiral constraint
• Canonical Quantization of Chern-Simons on the Light-Front