Power Counting For and Symmetries of the Effective Field Theory For NN Interactions

Details Power Counting For and Symmetries of the Effective Field Theory For NN Interactions Power Counting For and Symmetries of the Effective Field Theory For NN Interactions

1999-04-30

arxiv.org/abs/hep-ph/9904509v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Talk Presented at the Workshop on Nuclear Physics with Effective Field Theory, INT Feb. 25-26, 1999

Scientific paper

The appropriate power counting for the effective field theory of NN interactions is reviewed. It is more subtle than in most effective field theories since in the limit that the S-wave NN scattering lengths go to infinity it is governed by a nontrivial fixed point. The leading two body terms in the effective field theory for nucleon self interactions are scale invariant and invariant under Wigner SU(4) spin-isospin symmetry in this limit. Higher body terms with no derivatives (i.e., three and four body terms) are automatically invariant under Wigner symmetry.

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