Wilsonian
renormalization
group
versus subtractive
renormalization
in effective field theories for nucleon–nucleon scattering
ABCD PBi
Wilsonian
renormalization
group
versus subtractive
renormalization
in effective field theories for nucleon–nucleon scattering
Autor:
Epelbaum, Evgeny
;
Gegelia, Jambul
;
Meißner, Ulf-G.
É parte de:
Nuclear physics. B, 2017-12, Vol.925 (C), p.161-185
Notas:
USDOE
Descrição:
We compare the subtractive
renormalization
and the Wilsonian
renormalization
group
approaches in the context of an effective field theory for the two-nucleon system. Based on an exactly solvable model of contact interactions, we observe that the standard Wilsonian
renormalization
group
approach with a single cutoff parameter does not cover the whole space spanned by the
renormalization
scale parameters of the subtractive formalism. In particular,
renormalization
schemes corresponding to Weinberg's power counting in the case of an unnaturally large scattering length are beyond the region covered by the Wilsonian
renormalization
group
approach. In the framework of pionless effective field theory, also extended by the inclusion of a long-range interaction of separable type, we demonstrate that Weinberg's power counting scheme is consistent in the sense that it leads to a systematic order-by-order expansion of the scattering amplitude.
Editor:
Netherlands: Elsevier B.V
Idioma:
Inglês