Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters

Abstract

The Wilsonian renormalization group approach to the Lippmann-Schwinger equation with a multitude of cutoff parameters is introduced. A system of integro-differential equations for the cutoff-dependent potential is obtained. As an illustration, a perturbative solution of these equations with two cutoff parameters for a simple case of an S-wave low-energy potential in the form of a Taylor series in momenta is obtained. The relevance of the obtained results for the effective field theory approach to nucleon-nucleon scattering is discussed.

6 pages, no figures

References in corpus (2)

• Chiral effective field theory and nuclear forces
• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering

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