Integrating out Gluons in Flow Equations

Abstract

We present an exact nonperturbative flow equation for the average action for quarks which incorporates the effects of gluon fluctuations. With suitable truncations this allows one to compute effective multiquark interactions in dependence on an infrared scale $k$. Our method amounts to integrating out the gluons with momenta larger than $k$.

56 pages, Latex

References in corpus (3)

• Exact evolution equation for the effective potential
• Flow Equations and BRS Invariance for Yang-Mills Theories
• Evolution Equations for the Quark-Meson Transition

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• Two flavor chiral phase transition from nonperturbative flow equations
• Exact flow equation for composite operators
• Gauge-invariant fields and flow equations for Yang-Mills theories
• Effective Quark Interactions and QCD-Propagators
• Analysis of the Wilsonian Effective Potentials in Dynamical Chiral Symmetry Breaking
• Local potential approximation for the renormalization group flow of fermionic field theories
• Functional flows for complex effective actions
• Effective Average Action in N=1 Super-Yang-Mills Theory
• Evolution equations for the effective four-quark interactions in QCD
• Propagation of Gluons From a Non-Perturbative Evolution Equation in Axial Gauges
• Physics-informed operator flows and observables