2003/12/31 by Igor O. Cherednikov
Physics and Astronomy · #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1140/epja/i2004-10117-6
published as Eur.Phys.J. A23 (2005) 501-506 · Many changes and additions in the text, the main results unchanged. Accepted to EPJA; title changed in the journal version. 6pp, EPJA style
arxiv created 2005/01/18 · arxiv updated 2009/12/01
Resummation of the soft gluon radiative corrections for the quark-vector boson vertex is performed within the path-integral (world-line) approach. The leading order expression for the vacuum averaged Wilson integral for an arbitrary gauge field is found in n-dimensional space-time. The cusp anomalous dimension of the color non-singlet Sudakov form factor of on-mass-shell quark is calculated in an arbitrary covariant gauge in the one-loop order, and the leading double-logarithmic asymptotical behavior is obtained from the corresponding evolution equation.