Exact flow equation for composite operators

Abstract

We propose an exact flow equation for composite operators and their correlation functions. This can be used for a scale-dependent partial bosonization or "flowing bosonization" of fermionic interactions, or for an effective change of degrees of freedom in dependence on the momentum scale. The flow keeps track of the scale dependent relation between effective composite fields and corresponding composite operators in terms of the fundamental fields.

7 pages, 1 figure, minor changes, published version

References in corpus (15)

• Exact evolution equation for the effective potential
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Diquark Bose Condensates in High Density Matter and Instantons
• Aspects of the Functional Renormalisation Group
• Renormalization Flow of Bound States
• Universality of spontaneous chiral symmetry breaking in gauge theories
• Evolution Equations for the Quark-Meson Transition
• Particle-hole fluctuations in the BCS-BEC Crossover
• Functional renormalization for trion formation in ultracold fermion gases
• Bosonic effective action for interacting fermions
• Integrating out Gluons in Flow Equations
• Spontaneous symmetry breaking in the colored Hubbard model
• Evolution equations for the effective four-quark interactions in QCD
• First Order Chiral Phase Transition from a Six-fermion ''Instanton''-Interaction

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