Title: Mathematical Methods of Many-Body Quantum Field Theory (Chapman & Hall/CRC Research Notes in Mathematics Series)
Publisher: Chapman and Hall/CRC
Publication Date: 2019
Language: English
ISBN 10: 0367393905
ISBN 13: 9780367393908
Binding: Soft cover
Condition: Good

About this title

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 the Author

Lehmann, Detlef

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