Renormalization in various schemes of nucleon-nucleon chiral EFT

Gasparyan, A. M. and Epelbaum, E. (2024) Renormalization in various schemes of nucleon-nucleon chiral EFT. Il nuovo cimento C, 47 (4). pp. 1-4. ISSN 1826-9885

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Abstract

Renormalizability of an effective field theory allows one to perform a systematic expansion of the calculated observable quantities in terms of some small parameter in accordance with a certain power counting. We consider chiral effective field theory in application to the nucleon-nucleon interaction at next-to-leading order in the chiral expansion as an example of the renormalizability of a theory with a nonperturbative leading-order interaction. The requirement of the renormalizability imposes nontrivial constraints on a choice of such interaction. Two different approaches are discussed: the finite- and the infinite-cutoff schemes. Another considered example is the quantum mechanical problem of the inverse-square potential, which is often regarded as a toy model for various physical systems.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 11 Sep 2024 15:39
Last Modified: 11 Sep 2024 15:39
URI: http://eprints.bice.rm.cnr.it/id/eprint/23151

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