Running coupling in Yang-Mills theory - a flow equation study -
Holger Gies (CERN)
TL;DR
This paper uses exact renormalization group flow equations with a background-field method to analyze the running gauge coupling in Yang-Mills theory, revealing an infrared fixed point for SU(2) and SU(3).
Contribution
It introduces a spectral-flow-adjusted cutoff in the flow equation framework to determine the gauge coupling's scale dependence in Yang-Mills theory.
Findings
The gauge coupling approaches a fixed point in the infrared.
The method applies to SU(2) and SU(3) gauge groups.
The approach is valid across all energy scales.
Abstract
The effective average action of Yang-Mills theory is analyzed in the framework of exact renormalization group flow equations. Employing the background-field method and using a cutoff that is adjusted to the spectral flow, the running of the gauge coupling is obtained on all scales. In four dimensions and for the gauge groups SU(2) and SU(3), the coupling approaches a fixed point in the infrared.
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