Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course

The algebraic Bethe ansatz is a powerful method in theoretical physics that has been used to solve a variety of problems, including quantum statistical physics models, condensed matter physics, gauge field theories, and string theory. This book presents the latest research in the field, including the solution of the spectral problem and more complex problems. It also describes methods for calculating scalar products and form factors and applies the algebraic Bethe ansatz to the calculation of correlation functions of quantum integrable models. The text is intended for advanced undergraduate and postgraduate students and specialists interested in mathematical methods for studying physical systems.

Format: Hardback
Length: 400 pages
Publication date: 13 June 2022
Publisher: World Scientific Publishing Co Pte Ltd

The Algebraic Bethe Ansatz is a widely recognized approach in theoretical physics that has gained significant attention in recent years. Its application spans various fields, including quantum statistical physics models, condensed matter physics, gauge field theories, and string theory. This comprehensive book serves as a valuable resource for the latest research in this field. It encompasses both classic results that have stood the test of time and recent breakthroughs obtained through cutting-edge research.

The book begins by introducing the reader to the solution of the spectral problem, a fundamental aspect of algebraic Bethe ansatz. It then delves into more complex problems that can be tackled using this method, providing detailed explanations and methodologies. Special attention is given to applying the algebraic Bethe ansatz to calculate the correlation functions of quantum integrable models, a topic of great importance in modern physics.

Furthermore, the book explores multiple integral representations for correlation functions and provides examples of calculating the long-distance asymptotics of correlations. This text is designed for advanced undergraduate and postgraduate students, as well as specialists interested in the mathematical methods of studying physical systems that enable exact results. By presenting the state-of-the-art research in algebraic Bethe ansatz, this book offers valuable insights into the forefront of theoretical physics.

ISBN-13: 9789811254253