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The Theory and Applications of Instanton Calculations

The Theory and Applications of Instanton Calculations

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Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. They have many applications in quantum tunnelling, such as 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. 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.

Format: Paperback / softback
Length: 322 pages
Publication date: 09 February 2023
Publisher: Cambridge University Press


Instantons, also known as pseudoparticles, play a crucial role in classical field theories on Euclidean spacetime. These solutions to the equations of motion offer a profound understanding of various physical phenomena. In the realm of quantum theories, instantons are ubiquitous, as they find applications in diverse areas such as quantum tunnelling. Quantum tunnelling enables the description of a wide range of physical phenomena, including 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 renowned Erice lectures, this volume provides an accessible and comprehensive introduction to instanton methods. With numerous applications across various fields of physics, including condensed matter, particle and nuclear physics, and string theory, it serves as a valuable resource for graduate students seeking to delve into the complexities of quantum mechanics. Originally published in 2017, this title has been reissued as an Open Access publication on Cambridge Core, ensuring widespread access to its insights and knowledge.


ISBN-13: 9781009291231

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