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New fixed points of the renormalisation group for two-body scattering

Regular Article - Theoretical Physics

Abstract.

We outline a separable matrix ansatz for the potentials in effective field theories of non-relativistic two-body systems with short-range interactions. We use this ansatz to construct new fixed points of the renormalisation-group equation for these potentials. New fixed points indicate a much richer structure than previously recognized in the RG flows of simple short-range potentials.

Keywords

Renormalisation Group Equation Power Counting Critical Surface Renormalisation Group Analysis Functional Renormalisation Group 
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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Theoretical Physics Division, School of Physics and AstronomyThe University of ManchesterManchesterUK
  2. 2.Institut für Theoretische Physik II, Fakultät für Physik und AstronomieRuhr-Universität BochumBochumGermany
  3. 3.Institute for Advanced Simulation, Institut für KernphysikJülich Center for Hadron Physics, Forschungszentrum JülichJülichGermany
  4. 4.Tbilisi State UniversityTbilisiGeorgia

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