Field Theory of Condensed Matter and Ultracold Gases
Author | : Nicolas Dupuis |
Publisher | : Wspc (Europe) |
Total Pages | : 0 |
Release | : 2023-07-26 |
ISBN-10 | : 1800613903 |
ISBN-13 | : 9781800613904 |
Rating | : 4/5 (03 Downloads) |
Download or read book Field Theory of Condensed Matter and Ultracold Gases written by Nicolas Dupuis and published by Wspc (Europe). This book was released on 2023-07-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a pedagogical introduction to the concepts and methods of quantum field theory necessary for the study of condensed matter and ultracold atomic gases. After a thorough discussion of the basic methods of field theory and many-body physics (functional integrals, perturbation theory, Feynman diagrams, correlation functions and linear response theory, symmetries and their consequences, etc.), the book covers a wide range of topics, from electron gas and Fermi-liquid theory to superfluidity and superconductivity, magnetic instabilities in electron systems, and dynamical mean-field theory of Mott transition. The focus is on the study of model Hamiltonians, where the microscopic physics and characteristic energy scales are encoded into a few effective parameters, rather than first-principle methods which start from a realistic Hamiltonian at the microscopic level and then make material-specific predictions. The reader is expected to be familiar with elementary quantum mechanics and statistical physics, and some acquaintance with condensed-matter physics and ultracold gases may also be useful. No prior knowledge of field theory or many-body problem is required.