Gluon condensate and the effective gluon mass
Abstract
Using massive gauge invariant QCD we show explicity how power like corrections toPi _{μ v} left( q right) = iint {dx} e^{iq'x} left< {0left {j_μ ^{em} left( x right)bar j_v^{em} left( 0 right)} right0} rightrangle arise. Using our result for the 1/ q ^{4} contribution, a one to one correspondence is made between the gluon condensate and the effective gluon mass. By relating this mass to,< 0{α _s }/π G_{μ v}^2 0rangle a value of m _{gluon}=750 MeV is found at  q ^{2}=10 GeV^{2}. In addition, within the context of dimensional regularization, a new technique for evaluating two loop momentum integrals with massive propagators is introduced. This method is a derivative of the Mellin transform technique that was applied to ladder diagrams in the days of Reggeisation.
 Publication:

Zeitschrift fur Physik C Particles and Fields
 Pub Date:
 September 1987
 DOI:
 10.1007/BF01552546
 Bibcode:
 1987ZPhyC..33..397G