Quantum Field Theory: Feynman Path Integrals and Diagrammatic Techniques in Condensed Matter

This book explores quantum field theory using the Feynman functional and diagrammatic techniques as foundations to apply Quantum Field Theory to a broad range of topics in physics. This book will be of interest not only to condensed matter physicists but physicists in a range of disciplines as the techniques explored apply to high-energy as well as soft matter physics.

Author Biography: Lukong Cornelius Fai is professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang. He is Head of Condensed Matter and Nanomaterials as well as Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Masters of Science in Physics and Mathematics (June 1991) as well as a Doctor of Science in Physics and Mathematics (February 1997) from Moldova State University. He is an author of over a hundred scientific publications and three textbooks.

Chapter 1. Symmetry Requirements In Quantum Field Theory Chapter 2. Coherent States Chapter 3. Non-Interacting Particles Chapter 4. Perturbation Theory and feynman Diagrams Chapter 5. (Anti) Symmetrized Vertices Chapter 6. The Random Phase Approximation (RPA): Screened Interactions and Plasmons Chapter 7. Theory of Phase Transitions and Critical Phenomena Chapter 8. Weakly Interacting Bose Gas Chapter 9. Path Integral Formalism for Non-Ideal Bose Gas Chapter 10. Superconductivity Theory Chapter 11. Path Integral Approach to the BCS Theory: Spin-Imbalanced Fermi Gas Chapter 12. Green's Functions Averages Over Impurities Chapter 13. Classical and Quantum Theory of Magnetism Chapter 14. Spin Dynamics. Dynamical Response Function Chapter 15. Itinerant Ferromagnetism Chapter 16. Nonequilibrium Quantum Field Theory