Quantum mechanics and the path integral -- The symmetric double well -- Decay of a meta-stable state -- Quantum field theory and the path integral -- Decay of the false vacuum -- Large orders in perturbation theory -- Quantum electrodynamics in 1+1 dimensions -- The Polyakov pro…
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 th…
This book explains in detail the key concepts, calculations and applications elucidating quantum tunnelling mediated by instantons, using the Feynman path integral.
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 th…
The dawning of gauge theory
by O'Raifeartaigh, L., (Lochlainn)
fromPrinceton series in physics
During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions. The development has been in two stages. In the f…
Instanton moduli spaces and W-algebras
by Braverman, Alexander, Finkelberg, Michael, Nakajima, Hiraku
fromAstérisque
Instanton moduli spaces and W-algebras
by Braverman, Alexander, Finkelberg, Michael, Nakajima, Hiraku
fromAstérisque
We describe the (equivariant) intersection cohomology of certain moduli spaces ("framed Uhlenbeck spaces") together with some structures on them (such as e.g., the Poincaré pairing) in terms of representation theory of some vertex operator algebras ("W-algebras").
La 4e de couverture indique : "Classical solutions play an important role in quantum field theory, high energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings,…
Introduction -- Section I. BPST instantons: discovery and physical interpretation. Introduction -- 1. Compact gauge fields and the infrared catastrophe / A.M. Polyakov -- 2. Pseudoparticle solutions of the Yang-Mills equations / A.A. Belavin [und weitere] -- 3. Vacuum periodicit…
Instantons in Gauge theories
This volume is a compilation of works which, taken together, give a complete and consistent presentation of instanton calculus in non-Abelian gauge theories, as it exists now. Some of the papers reproduced are instanton classics. Among other things, they show from a historical p…