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Towards a new quantisation scheme for gauge theories

Busscher, S.J.B. (2025) Towards a new quantisation scheme for gauge theories.

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Abstract:The Pontryagin bundle is a structure that naturally arises in mathematical optimal control theory. This work uses the Pontryagin bundle to bypass the invertibility issues of the Legendre map and analyzes classical mechanics via the Gotay-Nester-Hinds presymplectic constraint algorithm, instead of using the Dirac-Bergmann algorithm on the cotangent bundle. We hope to thus ultimately pave the way to a more universal quantisation procedure for gauge theories.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics, 33 physics
Programme:Applied Mathematics BSc (56965)
Link to this item:https://purl.utwente.nl/essays/107858
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