Quantum Field Theory : Feynman Path Integrals and Diagrammatic Techniques in Condensed Matter
Author(s): Lukong Cornelius Fai
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.
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