## Condensed Matter Field TheoryOver the past few decades, in concert with ground-breaking experimental advances, condensed matter theory has drawn increasingly from the language of low-energy quantum field theory. This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. It emphasizes the development of modern methods of classical and quantum field theory with applications oriented around condensed matter physics. Topics covered include second quantization, path and functional field integration, mean-field theory and collective phenomena, the renormalization group, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion is rooted firmly in practical experimental application. As well as routine exercises, the text includes extended and challenging problems, with fully worked solutions, designed to provide a bridge between formal manipulations and research-oriented thinking. This book will complement graduate level courses on theoretical quantum condensed matter physics. |

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action amplitude analysis approximation assume atomic behavior bosonic classical compute condensed matter condensed matter physics consider contribution coordinate correlation function coupling constant defined degrees of freedom denotes density derivative described diagrams differential dimension dimensional discussion disordered dynamics effective electron gas energy equation example excitations exercise expansion explore fact Fermi Fermi energy fermion field integral field theory fixed point fluctuations formulation frequency functional integral gauge Gaussian Gaussian integration Green function Hamiltonian impurity INFO instanton interaction invariant lattice linear low-energy magnetic field manifold many-body matrix mean-field microscopic momentum non-interacting obtain one-dimensional operator parameter particle partition function path integral perturbation theory phase physics problem quantization quantum mechanics quasi-particle relation renormalization representation represents result scaling scattering second quantization Section self-energy single-particle space spin straightforward structure summation superconductor symmetry temperature topological transformation transition tunneling vector potential vertex