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arXiv · 2105.05593

Non-local Markovian symmetric forms on infinite dimensional spaces; Part 2. Examples: non local stochastic quantization of space cut-off quantum fields and infinite particle systems

Sergio Albeverio·Toshinao Kagawa·Shyuji Kawasaki·Yumi Yahagi·Minoru W. Yoshida
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Abstract

The general framework on the non-local Markovian symmetric forms on weighted $l^p$ $(p \in [1, \infty])$ spaces constructed by [A,Kagawa,Yahagi,Y 2020], by restricting the situation where $p =2$, is applied to such measure spaces as the space cut-off $P(\phi)_2$ Euclidean quantum field, the $2$-dimensional Euclidean quantum fields with exponential and trigonometric potentials, and the field describing a system of an infinite number of classical particles. For each measure space, the Markov process corresponding to the {\it{non-local}} type stochastic quantization is constructed.

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Sergio Albeverio, Toshinao Kagawa, Shyuji Kawasaki, Yumi Yahagi, Minoru W. Yoshida. 2021-05-12. Non-local Markovian symmetric forms on infinite dimensional spaces; Part 2. Examples: non local stochastic quantization of space cut-off quantum fields and infinite particle systems. https://arxiv.org/abs/2105.05593

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