Choice Recommended Title, February 2020
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.
Table of Contents
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
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.
In this graduate-level textbook, written for physics students in their second or third year beginning research for the PhD, Fai (Univ. of Dschang, Cameroon) addresses the needs of experimental students in condensed matter physics. Although theoretical students in other fields can also learn much from the book, those concentrating on theoretical condensed matter physics will benefit the most. The first five chapters are concerned with the techniques of quantum field theory (QFT), using the coherent state approach to path integrals. These chapters cover topics common to all areas of physics which use QFT. The remaining nine chapters cover important areas within modern condensed matter physics, including the random phase approximation (chapter 6); theory of phase transitions and critical phenomena (chapter 7); weakly interacting and non-ideal Bose gases (chapters 8 and 9); superconductivity and the BCS theory (chapters 10 and 11); and impurities, magnetism and nonequilibrium quantum field theory (chapters 12 through 14). The text does not treat advanced contemporary topics such as anyons, the quantum Hall effect, or topological fluids and insulators. Detailed presentation of calculations makes the book a good companion for student use in a lecture or reading course, or as a reference.
— M. C. Ogilvie, Washington Universityin CHOICE, February 2020