Manu Paranjape

Theory and Applications of Instanton Calculations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 16. November 2017
• Englisch
• ISBN-13: 9781108548731
• Artikelnr.: 50215246

Inhaltsangabe

Preface
1. Introduction
2. Quantum mechanics and the path integral
3. The symmetric double well
4. Decay of a meta-stable state
5. Quantum field theory and the path integral
6. Decay of the false vacuum
7. Large orders in perturbation theory
8. Quantum electrodynamics in 1+1 dimensions
9. The Polyakov proof of confinement
10. Monopole pair production
11. Quantum chromodynamics (QCD)
12. Instantons, supersymmetry and Morse theory
Appendix A. As aside on 0(4)
Appendix B. Asymptotic analysis
Bibliography
Index.