Vacuum Expectation Values of the Quantum Fields
Yury M. Zinoviev

TL;DR
This paper introduces a new axiomatic framework for quantum field theory based on distribution descriptions, satisfying linear Wightman axioms for finite series, aiming to formalize quantum fields mathematically.
Contribution
It proposes a novel axiomatic system for quantum fields centered on distribution descriptions, extending the mathematical foundation of quantum field theory.
Findings
Distributions satisfy linear Wightman axioms for finite series
New axioms provide a formal description of quantum fields
Framework enhances mathematical rigor of quantum field theory
Abstract
The new axiomatic system for the quantum field theory is proposed. The new axioms are the description of the distributions. For the finite series these distributions satisfy the linear Wightman axioms.
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