2018/05/01 by Gouranga C. Nayak, Nayak, Gouranga C
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1805.00446
openalex publication_date 2018/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Coulomb plus linear potential is widely used in QCD. However, in this paper we show that the Coulomb potential of the form (1)/(r) is not a part of the QCD potential. This is because the form (g2)/(r) is for abelian theory (not QCD) and the form (g2(μ))/(r) in QCD at short distance is not of the Coulomb form (1)/(r) because g(μ) depends on the mass/length scale μ. Similarly at long distance the QCD potential corresponds to the potential in the classical Yang-Mills theory which does not have the Coulomb form (1)/(r) because the fundamental color charge of the quark is time dependent in the classical Yang-Mills theory. This is unlike the QED potential which reduces to Coulomb potential at long distance.