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Free Fock space and functional calculus approach to the n-point information about the "Universe"

2010/11/14 by Jerzy Hanckowiak, Hanckowiak, Jerzy
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1011.3250

40 pages

arxiv created 2010/11/14 · arxiv updated 2010/11/16

Abstract

Starting from a differential equation for the unique field, the equation for the generating vector |V> of the n-point information (correlation and smeared functions) in the free Fock space is derived. In derived equation, due to appropriate extension of the right invertible operators, the physical vacuum vector |0> appears with a global characteristic of the field. For so called resolvent regularization of the original systems, the closed equations for the n-point information are analysed with the help of functional calculus.

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