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Power Counting and the Renormalization Group for an Effective Description of NN Scattering

1998/04/23 by David B. Kaplan, Kaplan, David B.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Spectral Theory in Mathematical Physics #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/9804061

18 pages, 3 figures; contribution to the Caltech/INT Workshop, "Nuclear Physics with Effective Field Theories"

arxiv created 1998/04/23 · openalex publication_date 1998/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I outline the power counting scheme recently introduced by M. Savage, M. Wise and myself for the effective field theory treatment of nucleon-nucleon scattering. It is particularly useful for describing systems with a large scattering length, and differs from Weinberg's power counting. A renormalization group analysis plays a big role in determining the order of a given operator. Pions are ignored in this discussion; how to incorporate them is discussed in M. Savage's talk, nucl-th/9804034.

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