Fermion condensate and the spectrum of massive Schwinger model in Bogoliubov transformed vacuum

Journal Article · Sat May 01 00:00:00 EDT 1993 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1006/aphy.1993.1031· OSTI ID:6517892

Tomachi, T; Fujita, T ^[1]

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1. Nihon Univ., Tokyo (Japan)

The authors calculate the spectrum of the charge zero sector in two-dimensional quantum electrodynamics (massive Schwinger model). The calculations are first done in the rest frame with the perturbative vacuum within given subspaces. This leads to the infrared instability at small fermion mass. Then, the Bogoliubov transformation of the vacuum is made. There, it is found that the quasi-particle states achieve a remarkably good description of the boson mass spectrum. At small fermion mass (m[sub 0][le]0.1(g/[pi][sup 1/2])), the Bogoliubov transformed state predicts the boson mass which agrees with the analytic estimation and thus is better than that calculated by the discretized light cone quantization methods at the same level of matrix dimensions. The fermion condensate of the vacuum is also estimated as the function of the fermion mass. At the massless limit, the right condensate value is reproduced as obtained analytically in the continuum limit. 16 refs., 6 figs.

• OSTI ID: 6517892
• Journal Information: Annals of Physics (New York); (United States), Vol. 223:2; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
MASS SPECTRA
FERMIONS
HADRONS
QUANTUM ELECTRODYNAMICS
VACUUM STATES
BOGOLYUBOV TRANSFORMATION
LIGHT CONE
QUANTIZATION
SCHWINGER-TOMONAGA FORMALISM
STRONG INTERACTIONS
TWO-DIMENSIONAL CALCULATIONS
BASIC INTERACTIONS
CANONICAL TRANSFORMATIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
INTERACTIONS
QUANTUM FIELD THEORY
SPACE-TIME
SPECTRA
TRANSFORMATIONS
662220* - Quantum Electrodynamics- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)