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Many of the deep results of integrable models in field theory and statistical mechanics are intimately related in one way or another to the understanding of local operators of the model, say Jimbo, Miwa, and Smirnov. They expound upon the structure of the space of local operators. After formulating the problem, they cover spectral problems in Matsubara direction and quantum groups, Fermions, the main theorem, and applications and generalizations. An appendix explores quasi-classical limit and algebraic geometry. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)
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Einband - flex.(Paperback). Condizione: New. Integrable models in statistical mechanics and quantum field theory constitute a rich research field at the crossroads of modern mathematics and theoretical physics. An important issue to understand is the space of local operators in the system and, ultimat. Codice articolo 595975489
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Paperback. Condizione: New. Integrable models in statistical mechanics and quantum field theory constitute a rich research field at the crossroads of modern mathematics and theoretical physics. An important issue to understand is the space of local operators in the system and, ultimately, their correlation functions and form factors. This book is the first published monograph on this subject. It treats integrable lattice models, notably the six-vertex model and the XXZ Heisenberg spin chain. A pair of fermions is introduced and used to create a basis of the space of local operators, leading to the result that all correlation functions at finite distances are expressible in terms of two transcendental functions with rational coefficients. Step-by-step explanations are given for all materials necessary for this construction, ranging from algebraic Bethe ansatz, representations of quantum groups, and the Bazhanov-Lukyanov-Zamolodchikov construction in conformal field theory to Riemann surfaces and their Jacobians. Several examples and applications are given along with numerical results.Going through the book, readers will find themselves at the forefront of this rapidly developing research field. Codice articolo LU-9781470465520
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Local Operators in Integrable Models I
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American Mathematical Society, US, 2021
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ISBN 13: 9781470465520
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Paperback. Condizione: New. Integrable models in statistical mechanics and quantum field theory constitute a rich research field at the crossroads of modern mathematics and theoretical physics. An important issue to understand is the space of local operators in the system and, ultimately, their correlation functions and form factors. This book is the first published monograph on this subject. It treats integrable lattice models, notably the six-vertex model and the XXZ Heisenberg spin chain. A pair of fermions is introduced and used to create a basis of the space of local operators, leading to the result that all correlation functions at finite distances are expressible in terms of two transcendental functions with rational coefficients. Step-by-step explanations are given for all materials necessary for this construction, ranging from algebraic Bethe ansatz, representations of quantum groups, and the Bazhanov-Lukyanov-Zamolodchikov construction in conformal field theory to Riemann surfaces and their Jacobians. Several examples and applications are given along with numerical results.Going through the book, readers will find themselves at the forefront of this rapidly developing research field. Codice articolo LU-9781470465520
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