Schwinger model in the light-cone gauge

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.3631· OSTI ID:542339

Bassetto, A ^[1]; Nardelli, G ^[2]; Vianello, E ^[3]

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1. CERN, Theory Division, CH-1211 Geneva 23 (Switzerland)
2. Dipartimento di Fisica, Universita di Trento, 38050 Povo (Trento) (Italy)
3. Dipartimento di Fisica G.Galilei, Via Marzolo 8 -- 35131 Padua (Italy)

The Schwinger model, defined in the space interval {minus}L{le}x{le}L, with (anti)periodic boundary conditions, is canonically quantized in the light-cone gauge A{sub {minus}}=0 by means of equal-time (anti)commutation relations. The transformation diagonalizing the complete Hamiltonian is explicitly constructed, thereby giving spectrum, chiral anomaly, and condensate. The structures of Hilbert spaces related both to free and to interacting Hamiltonians are completely exhibited. Besides the usual massive field, two chiral massless fields are present, which can be consistently expunged from the physical space by means of a subsidiary condition of a Gupta-Bleuler type. The chiral condensate does provide the correct nonvanishing value in the decompactification limit L{r_arrow}{infinity}. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 542339
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUNDARY CONDITIONS
CHIRAL SYMMETRY
COMMUTATION RELATIONS
COMPACTIFICATION
CONDENSATES
HAMILTONIANS
HILBERT SPACE
LIGHT CONE
MASSLESS PARTICLES
QUANTIZATION
QUANTUM ELECTRODYNAMICS
SPECTRA