ヨシダ ミノル   Yoshida Minoru
  吉田 稔
   所属   神奈川大学  工学部 情報システム創成学科
    神奈川大学大学院  工学研究科 工学専攻(情報システム創成領域)
   職種   教授
言語種別 英語
発行・発表の年月 2021/05
形態種別 学術雑誌
標題 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
執筆形態 共著
掲載誌名 arXiv.org
掲載区分国外
出版社・発行元 Cornel University, arXiv.
巻・号・頁 2105.05593v1
著者・共著者 Sergio Albeverio et.al.
概要 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
non-local type
stochastic quantization is constructed.