Derives a universal closed-form expression for the dynamical response of Schwarzschild black holes using RG resummation and far-zone matching, verified via shell EFT to high orders.
A renormalisation group approach to two-body scattering in the presence of long-range forces
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We apply renormalisation-group methods to two-body scattering by a combination of known long-range and unknown short-range potentials. We impose a cut-off in the basis of distorted waves of the long-range potential and identify possible fixed points of the short-range potential as this cut-off is lowered to zero. The expansions around these fixed points define the power countings for the corresponding effective field theories. Expansions around nontrivial fixed points are shown to correspond to distorted-wave versions of the effective-range expansion. These methods are applied to scattering in the presence of Coulomb, Yukawa and repulsive inverse-square potentials.
years
2026 3representative citing papers
Fusion of conjugate line defects exhibits walking RG at criticality with SL(2,R) Casimir fixing scheme-independent spectrum density, derived exactly in N=4 SYM via Quantum Spectral Curve.
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
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Universal Closed Form for Dynamical Love Numbers of Black Holes
Derives a universal closed-form expression for the dynamical response of Schwarzschild black holes using RG resummation and far-zone matching, verified via shell EFT to high orders.
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Fusion of conjugate line defects exhibits walking RG at criticality with SL(2,R) Casimir fixing scheme-independent spectrum density, derived exactly in N=4 SYM via Quantum Spectral Curve.
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Auxiliary counterterms and their role in effective field theory
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.