Functional renormalisation group for two-body scattering

Abstract

The functional renormalisation group is applied to the effective action for scattering of two nonrelativistic fermions. The resulting physical effective action is shown to contain the correct threshold singularity. The corresponding "bare" action respects Galilean invariance up to second order in momenta. Beyond that order it contains terms that violate this symmetry and, for the particular regulator considered, nonanalytic third-order terms. The corresponding potential can be expanded around a nontrivial fixed point using the power counting appropriate to a system with large scattering length.

9 pages, RevTeX; some more discussion added and embarrassing misprint corrected

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Cited by in corpus (23)

• Modern Theory of Nuclear Forces
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Fundamentals of the Exact Renormalization Group
• Efimov States in Nuclear and Particle Physics
• New applications of renormalization group methods in nuclear physics
• Functional renormalization group approach to the BCS-BEC crossover
• Efimov effect from functional renormalization
• Can chiral EFT give us satisfaction?
• Renormalization group study of Bose polarons
• The renormalisation group and nuclear forces
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions
• Renormalization group, dimer-dimer scattering, and three-body forces
• Convergence of a renormalization group approach to dimer-dimer scattering
• More about the Wilsonian analysis on the pionless NEFT
• Exact flow equation for bound states
• Efimov physics from the functional renormalization group
• Functional renormalisation group for few-nucleon systems: SU(4) symmetry and its breaking
• Four-boson bound states from a functional renormalisation group
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
• Flow equation of functional renormalization group for three-body scattering problems
• Nonperturbative Renormalisation Group: Applications to the few and many-body systems