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

**Authors:** Manuel Pavon Valderrama

arXiv: 1901.10398 · 2019-05-22

## TL;DR

This paper critically examines recent claims of inconsistencies in renormalizing singular potentials in effective field theory, concluding that these supposed issues do not actually occur.

## Contribution

It clarifies and refutes two claimed inconsistencies in the renormalization process for singular potentials, supporting the validity of current methods.

## Key findings

- No mismatch between $$ expansion and renormalization.
- Non-perturbative renormalization is feasible for repulsive singular interactions.
- The claimed inconsistencies are resolved or do not exist.

## 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 $\hbar$ 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.

## Full text

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## Figures

5 figures with captions in the complete paper: https://tomesphere.com/paper/1901.10398/full.md

## References

8 references — full list in the complete paper: https://tomesphere.com/paper/1901.10398/full.md

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Source: https://tomesphere.com/paper/1901.10398