Stochastic quantization on Lorentzian manifolds

Kuipers, Folkert (2021) Stochastic quantization on Lorentzian manifolds. The Journal of High Energy Physics. a28 1-49. ISSN 1126-6708

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Abstract

We embed Nelson’s theory of stochastic quantization in the Schwartz-Meyer second order geometry framework. The result is a non-perturbative theory of quantum mechanics on (pseudo-)Riemannian manifolds. Within this approach, we derive stochastic differential equations for massive spin-0 test particles charged under scalar potentials, vector potentials and gravity. Furthermore, we derive the associated Schrödinger equation. The resulting equations show that massive scalar particles must be conformally coupled to gravity in a theory of quantum gravity. We conclude with a discussion of some prospects of the stochastic framework.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 06 May 2021 07:48
Last Modified: 06 May 2021 08:00
URI: http://sro.sussex.ac.uk/id/eprint/98874

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