SCHWINGER MODEL IN THE LIGHT-CONE GAUGE

Citation
A. Bassetto et al., SCHWINGER MODEL IN THE LIGHT-CONE GAUGE, Physical review. D. Particles and fields, 56(6), 1997, pp. 3631-3645
Citations number
9
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
56
Issue
6
Year of publication
1997
Pages
3631 - 3645
Database
ISI
SICI code
0556-2821(1997)56:6<3631:SMITLG>2.0.ZU;2-X
Abstract
The Schwinger model, defined in the space interval -L less than or equ al to x less than or equal to L, with (anti)periodic boundary conditio ns, is canonically quantized in the light-cone gauge A(-) = 0 by means of equal-time (anti)commutation relations. The transformation diagona lizing the complete Hamiltonian is explicitly constructed, thereby giv ing spectrum, chiral anomaly, and condensate. The structures of Hilber t spaces related both to free and to interacting Hamiltonians are comp letely exhibited. Besides the usual massive field, two chiral massless fields are present, which can be consistently expunged from the physi cal space by means of a subsidiary condition of a Gupta-Bleuler type. The chiral condensate does provide the correct nonvanishing value in t he decompactification Limit L-->infinity.