New spectrum and condensate in two dimensional QCD

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dc.creatorFujita, Takehisa
dc.creatorHiramoto, Makoto
dc.creatorHomma, Takeshi
dc.date2003-06-10
dc.date.accessioned2026-07-07T04:15:20Z
dc.date.available2026-07-07T04:15:20Z
dc.descriptionThe boson mass and the condensate in two dimensional QCD with $SU(N_c)$ colors are numerically evaluated with the Bogoliubov vacuum. It is found that the boson mass is finite at the massless limit, and it is well described by the phenomenological expression $ {\cal M}_{N_c}={2\over 3}\sqrt{N_cg^2\over{3π}} $ for large $N_c$. Also, the condensate values agree very well with the prediction by the $1/N_c$ expansion. The validity of the naive light cone method is examined, and it turns out that the light cone prescription of the boson mass with the trivial vacuum is accidentally good for QED$_2$. But it is not valid for QCD$_2$. Further, at the massless fermion limit, the chiral symmetry is spontaneouly broken without anomaly, and the Goldstone theorem does not hold for QCD$_2$.
dc.description25 pages, 5 figures, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/0306085
dc.identifierhttp://arxiv.org/abs/hep-th/0306085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51964
dc.subjectHigh Energy Physics - Theory
dc.titleNew spectrum and condensate in two dimensional QCD
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