Renormalization on the DFR Quantum Spacetime
J. F. L\'opez (1), A. F. Reyes-Lega (1) ((1) Universidad de los, Andes)
TL;DR
This paper develops a renormalization framework for scalar quantum fields on DFR noncommutative spacetime, reformulating the effective theory with algebraic methods and analyzing singularities via microlocal analysis.
Contribution
It introduces a novel renormalization approach for scalar fields on DFR quantum spacetime using algebraic quantum field theory and microlocal analysis.
Findings
Effective non-local theory reformulated in algebraic quantum field theory
Singularities analyzed using microlocal analysis tools
Provides insights into noncommutative quantum field renormalization
Abstract
An approach to renormalization of scalar fields on the Doplicher-Fredenhagen-Roberts (DFR) quantum spacetime is presented. The effective non-local theory obtained through the use of states of optimal localization for the quantum spacetime is reformulated in the language of (perturbative) Algebraic Quantum Field Theory. The structure of the singularities associated to the non-local kernel that codifies the effects of noncommutativity is analyzed using the tools of microlocal analysis.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Cosmology and Gravitation Theories · Black Holes and Theoretical Physics