Light-Front Quantized Chiral Model and its Vacuum Structure

Technical Report · Mon Nov 30 04:00:00 EST 1998

DOI:https://doi.org/10.2172/10194· OSTI ID:10194

Srivastava, Prem P ^[1]

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1. SLAC

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 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{sup {+-}} = 0 constitute characteristic surfaces of hyperbolic partial differential equation are also made.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 10194
• Report Number(s): SLAC-PUB-8016
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
CHIRALITY
HILBERT SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
QUANTIZATION
SYMMETRY BREAKING