Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra

Rei Inoue; Kazuhiro Hikami

doi:10.1143/JPSJ.67.1163

Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra

Rei Inoue, Kazuhiro Hikami

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

We study the dynamical system on the space-time lattice based on solutions of the Yang-Baxter equation. We construct the quantum integrable difference-difference equations associated with the lattice W_N algebra. The classical lattice system and its time continuous limit are also discussed.

Original language	English
Pages (from-to)	1163-1174
Number of pages	12
Journal	Journal of the Physical Society of Japan
Volume	67
Issue number	4
DOIs	https://doi.org/10.1143/JPSJ.67.1163
Publication status	Published - 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.67.1163

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Inoue, R., & Hikami, K. (1998). Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra. Journal of the Physical Society of Japan, 67(4), 1163-1174. https://doi.org/10.1143/JPSJ.67.1163

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abstract = "We study the dynamical system on the space-time lattice based on solutions of the Yang-Baxter equation. We construct the quantum integrable difference-difference equations associated with the lattice WN algebra. The classical lattice system and its time continuous limit are also discussed.",

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AB - We study the dynamical system on the space-time lattice based on solutions of the Yang-Baxter equation. We construct the quantum integrable difference-difference equations associated with the lattice WN algebra. The classical lattice system and its time continuous limit are also discussed.

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