1995/03/20 by H. G. Dosch, Dosch, H. G., Otto Nachtmann +3
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.hep-ph/9503386
openalex publication_date 1995/03/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We re-derive and discuss two low energy theorems which relate the potential of a static quark-antiquark pair with the total energy and action stored in the flux tube between the sources. In lattice QCD these relations are known as Michael's sum-rules, but we give an essential correction to one of them. Then we relate the low energy theorems to the virial theorem for a heavy quark-antiquark bound state. Finally we compare the results for the flux tube formation, which have been calculated in the model of the stochastic vacuum, with the low energy theorems and obtain consistency. From this we conclude that the model describes the non perturbative gluon dynamics of QCD at a renormalization scale, where the strong coupling constant is given by \als = 0.57.