Continuum light cone quantization of Gross-Neveu models

Thies, M.; Ohta, K.

doi:10.1103/PhysRevD.48.5883

Continuum light cone quantization of Gross-Neveu models

1993

12 pages

Published in:

Phys.Rev.D 48 (1993) 5883-5894

DOI:

10.1103/PhysRevD.48.5883

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Abstract: (APS)

The Gross-Neveu models are quantized on the light cone, using an equation of motion approach tailored to the large N limit. Vacuum properties are exhibited and the fermion-antifermion integral equation of Tamm-Dancoff type is derived and solved, with particular attention paid to the issue of renormalization. The main results are verified in equal time quantization, by means of the infinite momentum frame.

Gross-Neveu model
quantization: light cone
Tamm-Dancoff approximation
bound state: (fermion antifermion)
fermion antifermion: interaction
interaction: fermion antifermion
momentum: infinite
renormalization
expansion 1/N

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