Quantum mechanics of confinement and chiral symmetry breaking in two-dimensional QCD

dc.creatorNefediev, A. V.
dc.date1998-08-03
dc.date.accessioned2026-07-07T04:04:27Z
dc.date.available2026-07-07T04:04:27Z
dc.descriptionThe system of light quark and heavy anti-quark source is studied in 1+1 QCD in the large $N_C$ limit. Making use of the modified Fock-Schwinger 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 Dirac-type equation for the spectrum of the system is proved to be equivalent to the well-known 't Hooft one in the one body limit. The unitary transformation from the Dirac-Pauli representation to the Foldy-Wouthuysen one is carried out explicitly, and it is shown that the equation in the Foldy-Wouthuysen representation can be treated as a gap equation which defines the light quark self-energy in the modified Fock-Schwinger gauge. The Foldy--Wouthuysen angle is found to play the role of the Bogoliubov-Valatin one and to give the standard value of the chiral condensate. Connections of the given formalism to the standard four-dimensional QCD are outlined and discussed.
dc.descriptionLaTeX 2.09, 4 pages, no figures, worldsci.sty used (included) Talk given at the Confinement III conference, Newport News, VA, USA 7-12 June 1998
dc.identifierhttps://arxiv.org/abs/hep-ph/9808208
dc.identifierhttp://arxiv.org/abs/hep-ph/9808208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/48098
dc.subjectHigh Energy Physics - Phenomenology
dc.titleQuantum mechanics of confinement and chiral symmetry breaking in two-dimensional QCD
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