Chapman and Hall/CRC Mathematical Methods of Many-Body Quantum Field Theory - CRC

Master the complex mathematical foundations of many-body physics with this rigorous text from the Chapman and Hall/CRC Research Notes in Mathematics Series. This book provides a deep dive into the tools required to describe quantum many-body systems, specifically focusing on the many-electron system. Readers will find a structured approach to essential concepts such as the formalism of second quantization and field theoretical perturbation theory. The text covers functional integral methods for both bosonic and fermionic systems, alongside practical estimation and summation techniques for Feynman diagrams. By connecting mathematical theory to physical phenomena, the book explores critical topics including BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect. It serves as a vital resource for students and researchers needing a formal mathematical treatment of quantum field theory and its applications to many-body physics.