Local operators in integrable models
Author(s)
Bibliographic Information
Local operators in integrable models
（Mathematical surveys and monographs, v. 256）
American Mathematical Society, c2021
- 1 : pbk
Available at / 24 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
1 : pbkS||MSM||256200041793838
-
The Institute for Solid State Physics Library. The University of Tokyo.図書室
1 : pbk413.7:L37210398926
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. 187-190) and index
Description and Table of Contents
Description
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.
Table of Contents
Formulation of the problem
Spectral problem in Matsubara direction and quantum groups
Ferminions
Main theorem
Applications and generalisations
Quasi-classical limit and algebraic geometry
Notation
Bibliography
Index
by "Nielsen BookData"
