1998/08/31 by James V. Steele, R. J. Furnstahl, R.J. Furnstahl · 2 citations
Physics and Astronomy · #Convergence (economics) #Cutoff #Dimensional regularization #Divergence (linguistics) #Effective field theory #Field theory (psychology) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Pion #Quantum Chromodynamics and Particle Interactions #Regularization (linguistics) #hep-ph #nucl-th
paper · pdf · doi:10.1016/s0375-9474(98)00619-8
published as Nucl.Phys. A645 (1999) 439-461 · 23 pages, 16 figures, revTeX, minor changes concerning Fig. 7
arxiv created 1998/11/24 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Two-nucleon effective field theory (EFT) beyond momenta of order the pion mass is studied for both cutoff regularization and dimensional regularization with power divergence subtraction (PDS). Models with two mass scales illustrate how effects of long-distance pion physics must be removed from the coefficients that encode short-distance physics. The modified effective range expansion shows that treating pions perturbatively, as in the PDS power counting, limits the radius of convergence of the EFT. Predictions from both regularization schemes with one-pion contributions are compared to data. The breakdown of the effective field theory occurs for momenta of order 300 MeV, even using the modified effective range expansion. This behavior is shown to be consistent with that expected from two-pion contributions.