From Stochastic Differential Equations to Quantum Field Theory

Details From Stochastic Differential Equations to Quantum Field Theory From Stochastic Differential Equations to Quantum Field Theory

1998-10-02

arxiv.org/abs/quant-ph/9810002v1

Rept.Math.Phys. 44 (1999) 101-110

Physics

Quantum Physics

11 pages, Latex, to appear in: Reports On Mathematical Physics No.X Vol.XX (199X)

Scientific paper

10.1016/S0034-4877(99)80150-5

Covariant stochastic partial (pseudo-)differential equations are studied in any dimension. In particular a large class of covariant interacting local quantum fields obeying the Morchio-Strocchi system of axioms for indefinite quantum field theory is constructed by solving the analysed equations. The associated random cosurface models are discussed and some elementary properties of them are outlined.

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