A New Interpretation of Bethe Ansatz Solutions for Massive Thirring Model

✍ Scribed by T Fujita; Y Sekiguchi; K Yamamoto

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 365 KB
• Volume: 255
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1996.5657

✦ Synopsis

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's solutions of the infinite momentum frame prescription. Further, it turns out that there exist no solutions for 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.

1997 Academic Press very important since the Bethe ansatz wave function is indeed exact. In their paper, Bergknoff and Thacker presented their solutions of the massive Thirring model based on the string hypothesis when they solve equations of the periodic boundary conditions (PBC) from Bethe ansatz wave functions.