Author:
Albeverio Sergio,Kagawa Toshinao,Kawasaki Shuji,Yahagi Yumi,Yoshida Minoru W.
Abstract
AbstractThe general framework on the non-local Markovian symmetric forms on weighted lp$(p \in [1, \infty ])$
(
p
∈
[
1
,
∞
]
)
spaces constructed by Albeverio et al. (Commn. Math. Phys. 388, 659–706, 2021 Kagawa) by restricting the situation where p = 2, is applied to probability measure spaces describing the space cut-off P(ϕ)2 Euclidean quantum field, the 2-dimensional Euclidean quantum fields with exponential and trigonometric potentials, and the measure associated with the field describing a system of an infinite number of classical particles. For each measure space, the Markov process corresponding to the non-local type stochastic quantization is constructed.
Publisher
Springer Science and Business Media LLC
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