Evolution of the gluon density in $x$ with a running coupling constant

Mikhail Braun; Gian Paolo Vacca

doi:doi:10.1007/s100529800753

EPJ

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2021 Impact factor 4.991

Particles and Fields

Eur. Phys. J. C 4, 85-91
DOI 10.1007/s100529800753

Evolution of the gluon density in x with a running coupling constant

Mikhail Braun - Gian Paolo Vacca

Department of Physics, University of Bologna, Istituto Nazionale di Fisica Nucleare - Sezione di Bologna

Received: 10 June 1997 / Revised version: 20 August 1997 / Published online: 24 April 1998

Abstract
We describe the calculation of the evolution of the gluon density in x from an initial value x=x₀=0.01 to smaller values, up to x=10^-8 in the hard pomeron formalism with a running coupling introduced on the basis of the bootstrap equation. The obtained gluon density is used to calculate the singlet part of the proton structure function. Comparison with experiment and the results following from the fixed coupling evolution is made.