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Springer eBooks

From quantum mechanics to technology : proceedings of the XXXIInd Winter School of Theoretical Physics, held in Karpacz, Poland, 19-29 February 1996

Zygmunt K. Petru, Jerzy Przystawa A, Krzysztof Rapcewicz

Published Jan 1, 1996• 1 citation
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The Field Theory Limit of Integrable Lattice Models

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The light-cone approach is reviewed. This method allows to find the underlying quantum field theory for any integrable lattice model in its gapless regime. The relativistic spectrum and S-matrix follows straightforwardly in this way through the Bethe Ansatz. We show here how to derive the infinite number of local commuting and non-local and non-commuting conserved charges in integrable QFT, taking the massive Thirring model (sine-Gordon) as an example. They are generated by quantum monodromy operators and provide a representation of $q-$deformed affine Lie algebras $U_q({\hat\G})$. Based on lectures delivered at the $XXX_q$ Karpacz Winter School, Poland, February 14-26, 1994.

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Proceedings of the 8th International Symposium on Foundations of Quantum Mechanics in the Light of New Technology

祥男 石岡, Kazuo Fujikawa

•Jun 1, 2006•2 citations
The light-cone approach is reviewed. This method allows to find the underlying quantum field theory for any integrable lattice model in its gapless regime. The relativistic spectrum and S-matrix follows straightforwardly in this way through the Bethe Ansatz. We show here how to derive the infinite number of local commuting and non-local and non-commuting conserved charges in integrable QFT, taking the massive Thirring model (sine-Gordon) as an example. They are generated by quantum monodromy operators and provide a representation of q−q-q−deformed affine Lie algebras $U_q({\hat\G})$. Based on lectures delivered at the XXXqXXX_qXXXq​ Karpacz Winter School, Poland, February 14-26, 1994.