A note on nonperturbative renormalization of effective field theory

Abstract

Within the realm of contact potentials, the key structures intrinsic of nonperturbative renormalization of $T$-matrices are unraveled using rigorous solutions and an inverse form of algebraic Lippmann-schwinger equation. The intrinsic mismatches between effective field theory power counting and nonperturbative divergence structures are shown for the first time to preclude the conventional counterterm algorithm from working in the renormalization of EFT for $NN$ scattering in nonperturbative regimes.

6 pages, no figure, version to appear in J.Phys.A

References in corpus (5)

• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Renormalization of Singular Potentials and Power Counting
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• A nonperturbative parametrization and scenario for EFT renormalization