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Drawing inspiration from Sidney Coleman's Erice lectures, this volume provides an accessible, detailed introduction to instanton methods and their many applications, as a valuable resource for graduate students in physics. This title, first published in 2017, has been reissued as an Open Access publication on Cambridge Core.

Instantons.

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This is the first book presenting a coherent theoretical and experimental treatment of the rapidly developing field of macroscopic quantum tunneling of the magnetic moment. The theory is based on the concept of the magnetic instanton and its renormalization by the dissipative environment. The book includes discussions of the tunneling of magnetic moment in small ferromagnetic grains, tunneling of the Ne'el vector in antiferromagnetic grains, quantum nucleation of magnetic domains, and quantum depinning of domain walls. The experimental part collects the majority of recent data that are, or may be, relevant to spin tunneling. Among the topics described are low temperature magnetic relaxation and its interpretation in various systems, experiments on single particles and mesoscopic wires, and resonant spin tunneling in molecular magnets. This study of an important new field in condensed matter physics by two leading contributors to the subject will be of interest to theorists and experimentalists alike.

Tunneling (Physics) --- Magnetization. --- Instantons.

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Gauge fields (Physics) --- Instantons --- Instantons. --- Gauge fields (Physics).

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Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons are found everywhere in quantum theories as they have many applications in quantum tunnelling. Diverse physical phenomena may be described through quantum tunnelling, for example: the Josephson effect, the decay of meta-stable nuclear states, band formation in tight binding models of crystalline solids, the structure of the gauge theory vacuum, confinement in 2+1 dimensions, and the decay of superheated or supercooled phases. Drawing inspiration from Sidney Coleman's Erice lectures, this volume provides an accessible, detailed introduction to instanton methods, with many applications, making it a valuable resource for graduate students in many areas of physics, from condensed matter, particle and nuclear physics, to string theory. This title, first published in 2017, has been reissued as an Open Access publication on Cambridge Core.

Quantum field theory. --- Instantons. --- Field theory (Physics) --- Gauge fields (Physics) --- Renormalization (Physics) --- Wave equation --- Relativistic quantum field theory --- Quantum theory --- Relativity (Physics) --- Quantum field theory --- Mathematics.

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Differential geometry. Global analysis --- Four-manifolds (Topology) --- Instantons --- 515.16 --- Field theory (Physics) --- Gauge fields (Physics) --- Renormalization (Physics) --- Wave equation --- 4-dimensional manifolds (Topology) --- 4-manifolds (Topology) --- Four dimensional manifolds (Topology) --- Manifolds, Four dimensional --- Low-dimensional topology --- Topological manifolds --- Topology of manifolds --- Instantons. --- Four-manifolds (Topology). --- 515.16 Topology of manifolds