Running coupling in Yang-Mills theory - a flow equation study -
arXiv:hep-th/0202207 · doi:10.1103/PhysRevD.66.025006
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.
35 pages, 3 figures, v2: References added, minor improvements, version to appear in PRD
References in corpus (15)
- Exact evolution equation for the effective potential
- Optimised Renormalisation Group Flows
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
- Non-perturbative Landau gauge and infrared critical exponents in QCD
- Renormalization Flow of Bound States
- Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
- Gluon propagators and quark confinement
- Completeness and consistency of renormalisation group flows
- Derivative expansion and renormalisation group flows
- Analytic Perturbation Theory in analyzing some QCD observables
- Renormalisation group flows for gauge theories in axial gauges
- Perturbation theory and renormalisation group equations
- Predictive power of renormalisation group flows: a comparison
- Abelian projected SU(2) Yang-Mills action for renormalisation group flows
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- anQCD: a Mathematica package for calculations in general analytic QCD models
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