A note on nonperturbative renormalization of effective field theory

Details A note on nonperturbative renormalization of effective field theory A note on nonperturbative renormalization of effective field theory

2009-01-23

arxiv.org/abs/0901.3731v4

J.Phys.A42:345402,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1751-8113/42/34/345402

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.

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