A note on nonperturbative renormalization of effective field theory
High Energy Physics - Theory
2009-08-12 v4 High Energy Physics - Phenomenology
Nuclear Theory
Quantum Physics
Abstract
Within the realm of contact potentials, the key structures intrinsic of nonperturbative renormalization of -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 scattering in nonperturbative regimes.
Cite
@article{arxiv.0901.3731,
title = {A note on nonperturbative renormalization of effective field theory},
author = {J. -F. Yang},
journal= {arXiv preprint arXiv:0901.3731},
year = {2009}
}
Comments
6 pages, no figure, version to appear in J.Phys.A