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

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.