1998/10/01 by Angsula Ghosh, Sadhan K. Adhikari, B. Talukdar · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Dimensional regularization #Equivalence (formal languages) #Mathematical analysis #Mathematical physics #Mathematics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Regularization (linguistics) #Renormalization #Separable space #Statistical physics #Theoretical physics #hep-ph #hep-th #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevc.58.1913
published as Phys.Rev. C58 (1998) 1913-1920 · 19 pages + one postscript figure
openalex publication_date 1998/10/01 · arxiv created 1998/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The role of dimensional regularization is discussed and compared with that of cut-off regularization in some quantum mechanical problems with ultraviolet divergence in two and three dimensions with special emphasis on the nucleon-nucleon interaction. Both types of renormalizations are performed for attractive divergent one- and two-term separable potentials, a divergent tensor potential, and the sum of a delta function and its derivatives. We allow energy-dependent couplings, and determine the form that these couplings should take if equivalence between the two regularization schemes is to be enforced. We also perform renormalization of an attractive separable potential superposed on an analytic divergent potential.