The Schwinger model revisited

DOI10.1016/0003-4916(88)90101-7zbMath0658.46062OpenAlexW2073541541MaRDI QIDQ1111139

S. H. Smith

Publication date: 1988

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90101-7

zbMATH Keywords

Schwinger modelbleached states do not existchiral symmetry breaking with the absence of Goldstone bosonsGoldstone dipole does not existonly the integer winding number gauge transformations are implementablephysical states have zero chargestate space associated to the Wightman functionsvacuum degeneracy is labelled by only one \(\theta \) anlge

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Constructive quantum field theory (81T08) Miscellaneous applications of functional analysis (46N99)

Related Items

HILBERT SPACE OF ISOMORPHIC REPRESENTATIONS OF BOSONIZED CHIRAL QCD₂, Nonregular representations of CCR algebras and algebraic fermion bosonization, The thirring interaction in the two-dimensional axial-current-pseudoscalar derivative coupling model, Infrared and vacuum structure in two-dimensional local quantum field theory models. The massless scalar field, Mathematical structure of the temporal gauge in quantum electrodynamics, Anomalies in finite amplitudes: Two-dimensional single and triple axial-vector triangles, BRST quantization of the Schwinger model, The dipole field model, A consistent Hamiltonian treatment of the Thirring-Wess and Schwinger model in the covariant gauge, Gauge symmetry and the light-front vacuum structure, Some remarks on the Gupta–Bleuler triplet, Chiral symmetry breaking and \(\theta\) vacuum structure in QCD, Theta vacua, charge confinement and charged sectors from nonregular representations of CCR algebras, Decoupled path integral formulation of chiral QCD\(_2\) with \(a_{JR}=2\), Structural aspects of two-dimensional anomalous gauge theories, Algebraic isomorphism in two-dimensional anomalous gauge theories, Structural aspects of the fermion-boson mapping in two-dimensional gauge and anomalous gauge theories with massive fermions.

Cites Work

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• The exponential of the two-dimensional massless scalar field as an infrared Jaffe field
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• Mathematical structures for long-range dynamics and symmetry breaking