Stochastic quantization of relativistic theories

Kuipers, Folkert (2021) Stochastic quantization of relativistic theories. Journal of Mathematical Physics, 62 (12). a122301 1-9. ISSN 0022-2488

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Abstract

It was shown recently that stochastic quantization can be made into a well defined quantization scheme on (pseudo-)Riemannian manifolds using second order differential geometry, which is an extension of the commonly used first order differential geometry. In this paper, we show that restrictions to relativistic theories can be obtained from this theory by imposing a stochastic energy–momentum relation. In the process, we derive non-perturbative quantum corrections to the line element as measured by scalar particles. Furthermore, we extend the framework of stochastic quantization to massless scalar particles.

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: 02 Dec 2021 07:52
Last Modified: 02 Dec 2021 08:00
URI: http://sro.sussex.ac.uk/id/eprint/103188

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