DFR Perturbative Quantum Field theory on Quantum Space Time, and Wick Reduction
Gherardo Piacitelli
TL;DR
This paper explores a perturbative Dyson approach to quantum field theory on quantum spacetime with nonlocal interactions, demonstrating Wick reduction and analyzing Dyson diagrams.
Contribution
It introduces a method for Wick reduction of nonlocal time-ordered products in DFR quantum field theory, providing a simplified Dyson diagram analysis.
Findings
Wick reduction can be performed as usual for nonlocal interactions
A simple Dyson diagram is discussed for the nonlocal QFT
The approach extends perturbative techniques to quantum spacetime models
Abstract
We discuss the perturbative approach a` la Dyson to a quantum field theory with nonlocal self-interaction :phi*...*phi:, according to Doplicher, Fredenhagen and Roberts (DFR). In particular, we show that the Wick reduction of non locally time--ordered products of Wick monomials can be performed as usual, and we discuss a very simple Dyson diagram.
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