Kuipers2021_Article_StochasticQuantizationOnLorent.pdf (642.92 kB)
Stochastic quantization on Lorentzian manifolds
Version 2 2023-06-12, 09:51
Version 1 2023-06-09, 23:47
journal contribution
posted on 2023-06-12, 09:51 authored by Folkert Johannes KuipersWe 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.
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- Published
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The Journal of High Energy PhysicsISSN
1126-6708Publisher
Springer NatureExternal DOI
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1-49Article number
a28Department affiliated with
- Mathematics Publications
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- Yes
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2021-05-06First Open Access (FOA) Date
2021-05-06First Compliant Deposit (FCD) Date
2021-05-06Usage metrics
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