1996/01/10 by J. L. Friar · 7 citations
Physics and Astronomy · #Algorithm #Amplitude #Dimensional regularization #Feynman diagram #High-Energy Particle Collisions Research #Mathematical physics #Nucleon #Parameterized complexity #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Renormalization #Scalar (mathematics) #Theoretical physics #nucl-th
paper · pdf · doi:10.1142/s0217732396003027
published in Modern Physics Letters A 11(39n40), 3043-3048 (World Scientific) · 7 pages, latex, 2 figures -- To appear in Int. J. Mod. Phys. E -- epsfig.sty required
arxiv created 1996/01/10 · openalex publication_date 1996/12/28 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown how nucleon-nucleon potentials can be defined in N dimensions, using dimensional regularization to continue amplitudes. This provides an easy way to separate out contact (δ-function) terms arising from renormalization. An example is worked out several ways for the case of two-scalar particles exchanged between nucleons, which involves a very simple loop calculation. This leads to a Feynman-parameterized representation for the nucleon–nucleon potential. Alternately, a dispersion representation can be developed leading to a different, though equivalent, form.