Finiteness of 2D Topological BF-Theory with Matter Coupling
R. Leitgeb, M. Schweda, H.Zerrouki
TL;DR
This paper demonstrates that 2D topological BF-Theory coupled with matter fields remains finite and free of anomalies at all perturbative orders, providing insights into its ultraviolet and infrared behavior.
Contribution
It proves the anomaly freedom and finiteness of 2D topological BF-Theory with matter coupling using algebraic renormalization techniques.
Findings
Model is anomaly free at all orders.
Model is ultraviolet finite.
Model is infrared finite.
Abstract
We study the ultraviolet and the infrared behavior of 2D topological BF-Theory coupled to vector and scalar fields. This model is equivalent to 2D gravity coupled to topological matter. Using techniques of the algebraic renormalization program we show that this model is anomaly free and ultraviolet as well as infrared finite at all orders of perturbation theory.
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