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03163aam a2200385 i 4500 001 06E946323BA511EC87B0DC564EECA4DB 003 SILO 005 20211102011932 008 210313t20212021riua b 001 0 eng 010 $a 2021006693 020 $a 1470465523 020 $a 9781470465520 035 $a (OCoLC)1245250710 040 $a LBSOR/DLC $b eng $e rda $c DLC $d OCLCO $d OCLCF $d YDX $d OCLCO $d KSU $d MTG $d GZN $d OCLCO $d OBE $d OCLCO $d IWA $d SILO 042 $a pcc 100 1 $a Jimbo, M. $q (Michio), $0 http://id.loc.gov/authorities/names/n86834209 $e author. 245 10 $a Local operators in integrable models. $n I / $c Michio Jimbo, Tetsuji Miwa, Fedor Smirnov. 264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2021] 300 $a xii, 192 pages : $b illustrations ; $c 26 cm. 490 1 $a Mathematical surveys and monographs, $x 0076-5376 ; $v volume 256 504 $a Includes bibliographical references (pages 187-190) and index. 505 0 $a Formulation of the problem -- Spectral problem in Matsubara direction and quantum groups -- Fermions -- Main theorem -- Applications and generalisations -- Quasi-classical limit and algebraic geometry. 520 $a "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"-- $c Publisher's website. 650 0 $a Integral equations. $0 http://id.loc.gov/authorities/subjects/sh85067088 650 0 $a Operator theory. $0 http://id.loc.gov/authorities/subjects/sh85095029 650 0 $a Quantum field theory. $0 http://id.loc.gov/authorities/subjects/sh85109461 650 0 $a Statistical mechanics. $0 http://id.loc.gov/authorities/subjects/sh85127571 700 1 $a Miwa, T. $q (Tetsuji), $0 http://id.loc.gov/authorities/names/n86834210 $e author. 700 1 $a Smirnov, F. A., $0 http://id.loc.gov/authorities/names/n2021006210 $e author. 773 18 $w 990002630680102756 $t Mathematical surveys and monographs. $g no:v. 256 830 0 $a Mathematical surveys and monographs ; $0 http://id.loc.gov/authorities/names/n83732928 $v v. 256. 941 $a 1 952 $l USUX851 $d 20211102015939.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=06E946323BA511EC87B0DC564EECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search