A new interpretation of Bethe ansatz solutions for massive Thirring model

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.5657· OSTI ID:526834

Fujita, T; Sekiguchi, Y; Yamamoto, K ^[1]

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1. Department of Physics, Faculty of Science and Technology, Nihon University, Tokyo (Japan)

We reexamine Bethe ansatz solutions of the massive Thirring model. We solve equations of periodic boundary conditions numerically without referring to the density of states. It is found that there is only one bound state in the massive Thirring model. The bound state spectrum obtained here is consistent with Fujita-Ogura{close_quote}s solutions of the infinite momentum frame prescription. Further, it turns out that there exist no solutions for {ital string}-like configurations. Instead, we find boson-boson scattering states in two-particle two-hole configurations where all the rapidity variables turn out to be real. {copyright} 1997 Academic Press, Inc.

• OSTI ID: 526834
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 255; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUND STATE
ENERGY SPECTRA
LAGRANGIAN FIELD THEORY
MASS
RENORMALIZATION
SEMICLASSICAL APPROXIMATION
THIRRING MODEL
WAVE FUNCTIONS