Dupuis N. Field Theory of Condensed Matter and Ultracold Gases vol. 1 2023

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Dupuis N. Field Theory of Condensed Matter and Ultracold Gases vol. 1 2023

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Textbook in PDF format 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. Preface Acknowledgments Acronyms List of Symbols and Notations Functional Integrals, Symmetries, and Correlation Functions Functional Integrals Symmetries Correlation and Response Functions Quantum Many-Body Systems (I) Fermi-Liquid Theory The Electron Gas Magnetism in Lattice Fermion Systems Superfluidity and Superconductivity Quantum Magnetism Baym–Kadanoff Formalism Index