Condensed Matter Field Theory
Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormalization group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields. Extended and challenging problems with fully worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level where they can engage in independent research, this book complements graduate level courses on many-particle theory.
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action amplitude analysis approximation assume behavior bosonic classical coefﬁcients compute condensed matter conﬁguration consider contribution coordinate correlation function coupling constant deﬁned deﬁnition degrees of freedom denotes density derivative described diagrams dimension discussion distribution dynamics effective electron gas energy equation equilibrium example excitations exercise expansion explore Fermi Fermi energy fermion ﬁeld integral ﬁeld theory ﬁgure ﬁnd ﬁnite ﬁrst ﬁxed point ﬂow ﬂuctuations ﬂux formulation frequency functional integral gauge Gaussian Gaussian integration Green function Hamiltonian identiﬁed impurity inﬁnite instanton interaction invariant Langevin equation lattice linear magnetic ﬁeld master equation matrix mean-ﬁeld microscopic momentum nonequilibrium notation obtain operator oscillator parameter particle partition function path integral perturbation theory phase physics potential problem quantization quantum mechanics reﬂects renormalization representation represents result scaling second quantization Section space speciﬁc spin straightforward structure summation superconductor symmetry temperature topological transformation transition tunneling variables vector vector potential