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Get Free AccessThe Feynman path integral of ordinary quantum mechanics is complexified and it is shown that possible integration cycles for this complexified integral are associated with branes in a two-dimensional A-model.This provides a fairly direct explanation of the relationship of the A-model to quantum mechanics; such a relationship has been explored from several points of view in the last few years.These phenomena have an analog for Chern-Simons gauge theory in three dimensions: integration cycles in the path integral of this theory can be derived from N = 4 super Yang-Mills theory in four dimensions.Hence, under certain conditions, a Chern-Simons path integral in three dimensions is equivalent to an N = 4 path integral in four dimensions.
Edward Witten (2010). A new look at the path integral of quantum mechanics. Surveys in Differential Geometry, 15(1), pp. 345-420, DOI: 10.4310/sdg.2010.v15.n1.a11.
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Type
Article
Year
2010
Authors
1
Datasets
0
Total Files
0
Language
English
Journal
Surveys in Differential Geometry
DOI
10.4310/sdg.2010.v15.n1.a11
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