Bp. Nigam et R. Acharya, ANALYTICAL EXPRESSION OF THE VACUUM POLARIZATION COEFFICIENT ALPHA-3 AND VERIFICATION OF THE 4TH-ORDER GELL-MANN-LOW FUNCTION PSI-4, Journal of physics. G, Nuclear and particle physics, 19(6), 1993, pp. 95-96
The analytical expression for the vacuum polarization coefficient a3 i
s obtained from the on-shell Callan-Symanzik function beta4 given by B
roadhurst, Kataev and Tarasov. These expressions for beta4 and a3 are
found to be consistent with the expression for the Gell-Mann-Low funct
ion PSI4 given by Gorishny, Kataev, Larin and Surguladze.