Quark-antiquark interaction at all momentum transfers
- 1 September 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 18 (5), 1688-1695
- https://doi.org/10.1103/physrevd.18.1688
Abstract
The running coupling constant of quantum chromodynamics is obtained for all by integrating the renormalization-group equation. The function in the asymptotic- freedom region is given by perturbation theory through order and at large coupling by the string model with string tension related to the Regge slope . We incorporate these features into a Padé approximant to the function thereby obtaining it for all . The constant of integration of the renormalization-group equation is chosen to be about 500 MeV, as required by deep-inelastic phenomenology. is thus completely determined by , , and the first two terms of the function. The resulting charmonium and spectroscopy is in excellent agreement with experiment. In particular the mass difference is forced to be nearly equal to the mass difference. In addition, it is shown that the structure of signals the presence of instantons.
Keywords
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