Research output: Contribution to journal › Article › peer-review
Extended QCD2 from dimensional projection of QCD4. / Alfaro, Jorge; Labraña, Pedro; Andrianov, Alexander A.
In: Journal of High Energy Physics, Vol. 8, No. 7, 01.07.2004, p. 1667-1683.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Extended QCD2 from dimensional projection of QCD4
AU - Alfaro, Jorge
AU - Labraña, Pedro
AU - Andrianov, Alexander A.
PY - 2004/7/1
Y1 - 2004/7/1
N2 - We study an extended QCD model in (1+1) dimensions obtained from QCD in 4D by compactifying two spatial dimensions and projecting onto the zero-mode subspace. We work out this model in the large Nc limit and using light cone gauge but keeping the equal-time quantization. This system is found to induce a dynamical mass for transverse gluons - adjoint scalars in QCD 2, and to undergo a chiral symmetry breaking with the full quark propagators yielding non-tachyonic, dynamical quark masses, even in the chiral limit. We study quark-antiquark bound states which can be classified in this model by their properties under Lorentz transformations inherited from 4D. The scalar and pseudoscalar sectors of the theory are examined and in the chiral limit a massless ground state for pseudoscalars is revealed with a wave function generalizing the so called 't Hooft pion solution.
AB - We study an extended QCD model in (1+1) dimensions obtained from QCD in 4D by compactifying two spatial dimensions and projecting onto the zero-mode subspace. We work out this model in the large Nc limit and using light cone gauge but keeping the equal-time quantization. This system is found to induce a dynamical mass for transverse gluons - adjoint scalars in QCD 2, and to undergo a chiral symmetry breaking with the full quark propagators yielding non-tachyonic, dynamical quark masses, even in the chiral limit. We study quark-antiquark bound states which can be classified in this model by their properties under Lorentz transformations inherited from 4D. The scalar and pseudoscalar sectors of the theory are examined and in the chiral limit a massless ground state for pseudoscalars is revealed with a wave function generalizing the so called 't Hooft pion solution.
KW - 1/N Expansion
KW - Field Theories in Lower Dimensions
KW - QCD
UR - http://www.scopus.com/inward/record.url?scp=23044500274&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:23044500274
VL - 8
SP - 1667
EP - 1683
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 7
ER -
ID: 36894378