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Dimensional versus cut-off renormalization and the nucleon-nucleon potential of the effective field theory

1999/01/19 by Sadhan K. Adhikari, Adhikari, Sadhan K.
Engineering · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Pulsars and Gravitational Waves Research #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications #cond-mat #hep-lat #hep-ph #nucl-th #quant-ph

paper · pdf · doi:10.48550/arxiv.nucl-th/9901052

10 pages, Latex

arxiv created 1999/01/19 · openalex publication_date 1999/01/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The role of cut-off and dimensional regularizations is discussed in the context of obtaining a renormalized nucleon-nucleon potential from the chiral Lagrangian formulation of the effective field theory due to Weinberg. Both types of renormalizations are performed for the sum of an attractive delta function and its derivatives. The equivalence between the two forms of regularizations can be established with the use of energy-dependent bare couplings and the explicit forms of these couplings are determined.

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