Quantum mechanics of confinement and chiral symmetry breaking in twodimensional QCD
Abstract
The system of light quark and heavy antiquark source is studied in 1+1 QCD in the large $N_C$ limit. Making use of the modified FockSchwinger gauge allows to consider simultaneously the spectroscopical problem of the q\bar Q bound states and the problem of the light quark Green function. The Diractype equation for the spectrum of the system is proved to be equivalent to the wellknown 't Hooft one in the one body limit. The unitary transformation from the DiracPauli representation to the FoldyWouthuysen one is carried out explicitly, and it is shown that the equation in the FoldyWouthuysen representation can be treated as a gap equation which defines the light quark selfenergy in the modified FockSchwinger gauge. The FoldyWouthuysen angle is found to play the role of the BogoliubovValatin one and to give the standard value of the chiral condensate. Connections of the given formalism to the standard fourdimensional QCD are outlined and discussed.
 Publication:

arXiv eprints
 Pub Date:
 August 1998
 DOI:
 10.48550/arXiv.hepph/9808208
 arXiv:
 arXiv:hepph/9808208
 Bibcode:
 1998hep.ph....8208N
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 LaTeX 2.09, 4 pages, no figures, worldsci.sty used (included) Talk given at the Confinement III conference, Newport News, VA, USA 712 June 1998