Gluon and Ghost Propagators in Landau Gauge on the Lattice
Abstract
We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$  the fundamental parameter of the pure gauge theory. The values obtained from the ghost and gluon propagators are coherent. The result for pure gauge SU(3) at three loops is $\Lambda_{\ms}\approx 320\text{MeV}$. However this value does depend strongly upon the order of perturbation theory and upon the renormalisation description of the continuum propagators. Moreover, this value has been obtained without taking into account possible power corrections to the shortdistance behaviour of correlation functions.
 Publication:

arXiv eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.heplat/0505009
 arXiv:
 arXiv:heplat/0505009
 Bibcode:
 2005hep.lat...5009L
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 Presented by A.Y. Lokhov at the 40th Rencontres de Moriond ''QCD and Hadronic Interactions'', La Thuile, Aosta Valley, Italy, March 12th to 19th, 2005