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Physics
Quantum Physics
Standard perturbation theory - what exactly is meant?
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[QUOTE="DarMM, post: 6165268, member: 140662"] Instantons are lowest action solutions of the Classical Field Theory that live in a different topological sector from the typical lowest action solution, the Classical "vacuum" of ##A_{\mu} = 0##. Different Topological sector means that the Fiber Bundle of which they are a section is not homeomorphic to the Fiber Bundle of the vacuum solution (despite them both having the same base space). It is not really possible to discuss Instantons without the language of Fiber Bundles, so I cannot simplify it beyond that without explaining the theory of Fiber Bundles. They are "nonperturbative" because typically these Classical solutions contain information about the corresponding Quantum Field Theory that is not accessible from Perturbation theory about the Classical vacuum. [/QUOTE]
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Quantum Physics
Standard perturbation theory - what exactly is meant?
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