Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions

We introduce a stochastic analysis of Grassmann random variables suitable for the stochastic quantization of Euclidean fermionic quantum field theories. Analysis on Grassmann algebras is developed here from the point of view of quantum probability: a Grassmann random variable is an homomorphism of a...

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Bibliographic Details
Published in:	Probability theory and related fields Vol. 183; no. 3-4; pp. 909 - 995
Main Authors:	Albeverio, Sergio, Borasi, Luigi, De Vecchi, Francesco C., Gubinelli, Massimiliano
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022 Springer Nature B.V
Subjects:	Algebra Applied mathematics Banach spaces Brownian motion Differential equations Economics Euclidean geometry Euclidean space Fermions Finance Gaussian process Hilbert space Homomorphisms Insurance Management Mathematical and Computational Biology Mathematical and Computational Physics Mathematics Mathematics and Statistics Measurement Operations Research/Decision Theory Partial differential equations Probability Probability theory Probability Theory and Stochastic Processes Quantitative Finance Quantum field theory Quantum theory Random variables Spacetime Statistics for Business Theoretical Vector spaces White noise Grassmann algebras Euclidean fermion fields 81S20 Stochastic quantization Non-commutative probability Constructive quantum field theory Non-commutative stochastic partial differential equations Yukawa model 60H15 81T08
ISSN:	0178-8051, 1432-2064
Online Access:	Get full text
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