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An instanton (pseudoparticle) is a classical solution to the equations of motion, usually of Yang-Mills theory, with a finite, non-zero action, on a Euclidean spacetime. Instantons normally dominate the path integral of Y-M theory and determine its quantum tunneling behavior. May use for merons and other topological field-theoretic configurations.

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What does the Pontryagin index do in BPST instanton (solution to Yang-Mills theory)?

Instantons are solutions that minimize the Euclidean action of the Lagrangian and describe a tunneling path between two classical vacuum states of your theory. …
Maximilian Buthenhoff's user avatar