Comment on "How (not) to renormalize integral equations with singular potentials in effective field theory"

Abstract

I critically discuss two of the potential inconsistencies pointed out in the recent manuscript by Epelbaum, Gasparyan, Gegelia and Meissner, published in Eur. Phys.J. A54, 186 (2018). The potential inconsistencies are: (i) a possible mismatch between the $\hslash$ expansion of the scattering amplitude and renormalization, (ii) an impossibility of "non-perturbative renormalization" to deal with repulsive singular interactions. The conclusion is that these inconsistencies do not happen.

3 pages, one figure, comment on Eur. Phys.J. A54, 186 (2018). It corresponds to the accepted version in EPJA (except for the abstract, which EPJA comments do not have)

References in corpus (8)

• Two-Nucleon Systems from Effective Field Theory
• Renormalization of One-Pion Exchange and Power Counting
• Power counting with one-pion exchange
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Power Counting of Contact-Range Currents in Effective Field Theory
• How (not) to renormalize integral equations with singular potentials in effective field theory
• Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory

Cited by in corpus (10)

• Power counting in chiral effective field theory and nuclear binding
• Strong CP violation in nuclear physics
• A further study on the renormalization group aspect of perturbative corrections
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Regulator constraints for the perturbative renormalizability of attractive triplets
• Reexamining the perturbative renormalizability of the coupled triplets
• Residual cut-off dependence and power counting: the deuteron as a case study
• Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory
• Symmetries of the nucleon-nucleon $S$-matrix and effective field theory expansions
• Auxiliary counterterms and their role in effective field theory