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

Mathematical Methods of Many-Body Quantum Field Theory provides a comprehensive and mathematically rigorous foundation for understanding many-body physics. This research note develops essential mathematical tools for describing quantum many-body systems and applies them directly to many-electron systems. The book covers second quantization formalism, field theoretical perturbation theory, functional integral methods for both bosonic and fermionic systems, and advanced estimation and summation techniques for Feynman diagrams. Physical effects explored include BCS superconductivity, s-wave and higher l-wave phenomena, and fractional quantum effects. Designed for researchers and advanced students in theoretical physics and mathematics, this volume serves as an indispensable reference for tackling complex problems in quantum field theory and condensed matter physics.