Qcd Condensates, The Operatorproduct Expansion And The Dynamical Quark Mass
 Publication Year:
 1988

 Bepress 48

 Bepress 9
 Repository URL:
 https://ir.lib.uwo.ca/digitizedtheses/1754
 Author(s):
 Tags:
 Physics; Elementary Particles and High Energy
thesis / dissertation description
The operatorproduct expansion will be applied to the twopoint Green functions of QCD in order to study the dynamical generation of quark masses. The lowest order quark and gluon condensate contributions to the quark selfenergy will be calculated to all orders in the expansions of the quarkquark and gluongluon vacuum expectation values. The resulting onshell gauge independence of the quark selfenergy leads selfconsistently to a nonperturbative dynamical quark mass in agreement with the phenomenology of up and down constituent mass.;The order g{dollar}\sp3{dollar}, chiralviolating, mixed condensate component of the quark selfenergy will be calculated to order m{dollar}\sp3{dollar} in the expansions of the quarkquark and quarkgluonquark vacuum expectation values, and then extended to all orders. The resulting selfenergy is gauge independent for arbitrary values of the current mass, and the pole position of the quark propagator is unshifted from the value obtained from the quark and gluon condensates.;The lowest order quark condensate projection of the gluon propagator will be calculated to all orders in the quarkquark vacuum expectation value. The selfenergy is found to be transverse, satisfying the SlavnovTaylor identity. Implications for mechanisms which lead to an effective gluon mass will be considered. A brief application of this result to the QCD sum rule for the {dollar}\rho{dollar} meson will also be presented.