Loop representation and r-Fock measures for $SU(N)$ gauge theories
Mehdi Assanioussi, Jerzy Lewandowski
TL;DR
This paper develops r-Fock measures for SU(N) gauge theories within Loop Quantum Gravity, linking perturbative quantum field theory elements to background-independent, diffeomorphism-invariant measures.
Contribution
It introduces a novel construction of r-Fock measures for SU(N) gauge theories and relates them to existing measures in Loop Quantum Gravity.
Findings
r-Fock measures for SU(N) gauge theories are constructed.
A relation between r-Fock measures and diffeomorphism-invariant measures is established.
The work advances the integration of perturbative QFT into background-independent frameworks.
Abstract
In this article we continue the work on translating elements of the perturbative quantum field theory defined on Minkowski spacetime into the background independent framework of Loop Quantum Gravity. We present the construction of r-Fock measures for gauge theories and provide a relation between these new r-Fock measures and the difeomorphism invariant measure used in loop quantum gravity.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Advanced Operator Algebra Research