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math-ph2026
Direct construction of scalar quantum fields by L{é}vy fields -- nontrivial exact Wightman fields in a wider field with a relaxed Gårding-Wightman Axioms-
Sergio Albeverio, Suji Kawasaki, Yumi Yahagi +1
This paper introduces partial results, in the current situation, of ongoing considerations corresponding to the above title. A construction on exact relativistic quantum field mode…
math-ph2021
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 +2
The general framework on the non-local Markovian symmetric forms on weighted spaces constructed by [A,Kagawa,Yahagi,Y 2020], by restricting the situatio…
math-ph2006★ 9 cited
Systems of classical particles in the grand canonical ensemble, scaling limits and quantum field theory
S. Albeverio, H. Gottschalk, M. W. Yoshida
Euclidean quantum fields obtained as solutions of stochastic partial pseudo differential equations driven by a Poisson white noise have paths given by locally integrable functions.…