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arXiv · 1710.04178

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

E. Epelbaum·J. Gegelia·Ulf-G. Meißner
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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.

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E. Epelbaum, J. Gegelia, Ulf-G. Meißner. 2017-10-11. Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters. https://doi.org/10.1088/0253-6102%2F69%2F3%2F303

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