Integrability using the Sine-Gordon and Thirring duality : (Record no. 68512)
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| fixed length control field | 05727nam a2200757 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780750358996 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IOP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20251030124832.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240601s2024 enka fob 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750358996 |
| Qualifying information | ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750358989 |
| Qualifying information | mobi |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750358972 |
| Qualifying information | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750359009 |
| Qualifying information | myPrint |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1088/978-0-7503-5899-6 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaBNVSL)thg00083944 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1435947287 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CaBNVSL |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | CaBNVSL |
| Modifying agency | CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA614.83 |
| Item number | .T675 2024eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Torrielli, Alessandro, |
| Relator term | author. |
| 9 (RLIN) | 97099 |
| 245 1# - TITLE STATEMENT | |
| Title | Integrability using the Sine-Gordon and Thirring duality : |
| Remainder of title | an introductory course / |
| Statement of responsibility, etc. | Alessandro Torrielli. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |
| Name of producer, publisher, distributor, manufacturer | IOP Publishing, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2024] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (various pagings) : |
| Other physical details | illustrations (some color). |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | electronic |
| Source | isbdmedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | [IOP release $release] |
| 490 1# - SERIES STATEMENT | |
| Series statement | IOP ebooks. [2024 collection] |
| 500 ## - GENERAL NOTE | |
| General note | "Version: 20240501"--Title page verso. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Introduction -- 1.1. Prelude |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2. Invitation to integrable quantum field theories -- 2.1. Classical integrability -- 2.2. Exact S-matrices |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3. The sine-Gordon model -- 3.1. A very special theory -- 3.2. Classical aspects -- 3.3. Quantum aspects -- 3.4. Breather S-matrix, mixed S-matrix -- 3.5. Sine-Gordon and the XXZ spin-chain -- 3.6. The quantum group Uq(su(2)) -- 3.7. The quantum affine symmetry |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. The Thirring model -- 4.1. Fermions in the game -- 4.2. A small snapshot of the 1 + 1-dimensional particle world |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5. Duality between sine-Gordon and Thirring -- 5.1. Coleman's argument -- 5.2. Project -- 5.3. Mandelstam's construction -- 5.4. Bethe ansatz -- 5.5. Form factors |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6. Remarks on the duality -- 6.1. The paper by Klassen and Melzer -- 6.2. Final remarks |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7. Supplement : the residue of the Lee-Yang model -- 7.1. Pole analysis |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8. Supplement : Hopf algebra properties -- 8.1. Building blocks -- 8.2. Coproducts -- 8.3. R-matrix -- 8.4. RTT relations |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 9. Supplement : Yangians -- 9.1. Drinfeld's first realisation -- 9.2. Drinfeld's second realisation -- 9.3. Universal R-matrix of the Yangian of su(2) -- 9.4. Principal chiral model -- 9.5. More on the quantum-classical transition |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10. Supplement : the Lieb-Liniger model -- 10.1. The classical theory -- 10.2. Quantisation |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 11. Supplement : massless integrability -- 11.1. The limit to zero mass -- 11.2. Massless flows -- 11.3. Thermodynamic Bethe ansatz for a simple S-matrix |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 12. Supplement : a toy model for the Bethe ansatz -- 12.1. Setup -- 12.2. Low N eigenstates. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Full-text restricted to subscribers or individual document purchasers. |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | This book provides a detailed description of the duality between two integrable systems: the 1+1-dimensional sine-Gordon model and the 1+1-dimensional Thirring model. While of great importance per se, this duality is only part of the target of the book. In order to reach an understanding of the subtleties involved in the duality, one has to take a journey through the properties of quantum integrable systems, building from the ground up the theory of exact S-matrices and familiarising oneself with the mathematical concept of a quantum group. The book therefore becomes an opportunity for a focussed study of integrability in its wider breadth of interest, always maintaining a clear ultimate purpose in mind: understanding the duality between bosons and fermions in 1+1 dimensions. This should make going through the book from the point of view of the reader/early-career researcher a live enterprise, as opposed to a more passive learning exercise. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | Professional and scholarly. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Also available in print. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. |
| 545 ## - BIOGRAPHICAL OR HISTORICAL DATA | |
| Biographical or historical data | Alessandro Torrielli has been a member of staff at the University of Surrey since 2011, and appointed as Professor of Mathematics in 2022. He graduated with a 110/110 laurea (equivalent to MSc) in Physics from Genoa University, undertook his PhD in Physics from Padua University, then held postdoctoral positions at Padua University, the Humboldt University of Berlin, the Massachusetts Institute of Technology MIT, Utrecht University and York University. His work focuses on algebraic aspects of integrable systems, in particular supersymmetric models of the type appearing in the AdS/CFT correspondence. His research papers have gathered 3867 citations to this day, and his current h-index is 30. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Title from PDF title page (viewed on June 1, 2024). |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 9 (RLIN) | 97100 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| Source of heading or term | bicssc |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 96672 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Institute of Physics (Great Britain), |
| Relator term | publisher. |
| 9 (RLIN) | 17702 |
| 776 #8 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780750358972 |
| -- | 9780750359009 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP (Series). |
| Name of part/section of a work | Release 24. |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP ebooks. |
| Name of part/section of a work | 2024 collection. |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://iopscience.iop.org/book/mono/978-0-7503-5899-6">https://iopscience.iop.org/book/mono/978-0-7503-5899-6</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
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