Mathematical Methods of Many-Body Quantum Field Theory (Chapman & Hall/CRC Research Notes in Mathematics Series) - Hardcover

Lehmann, Detlef

Hardcover

ISBN 10: 1584884908 ISBN 13: 9781584884903

Publisher: Chapman and Hall/CRC, 2019

Synopsis

Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theory, functional integral methods, bosonic and fermionic, and estimation and summation techniques for Feynman diagrams. Among the physical effects discussed in this context are BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect. While the presentation is mathematically rigorous, the author does not focus solely on precise definitions and proofs, but also shows how to actually perform the computations. Presenting many recent advances and clarifying difficult concepts, this book provides the background, results, and detail needed to further explore the issue of when the standard approximation schemes in this field actually work and when they break down. At the same time, its clear explanations and methodical, step-by-step calculations shed welcome light on the established physics literature.

About this title

About the Author

Lehmann, Detlef

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2019
• Language: English
• ISBN 10: 1584884908
• ISBN 13: 9781584884903
• Binding: Hardcover
• Edition number: 1
• Number of pages: 264
• Editor: Jeffrey Alan, Douglas Ronald G., Brezis Haim