TY - JOUR
T1 - The Skyrmion strikes back
T2 - Baryons and a new large Nc limit
AU - Cherman, Aleksey
AU - Cohen, Thomas D.
PY - 2006/12/1
Y1 - 2006/12/1
N2 - In the large Nc limit of QCD, baryons can be modeled as solitons, for instance, as Skyrmions. This modeling has been justified by Witten's demonstration that all properties of baryons and mesons scale with Nc-1/2 in the same way as the analogous meson-based soliton model scales with a generic meson-meson coupling constant g. An alternative large Nc limit (the orientifold large Nc limit) has recently been proposed in which quarks transform in the two-index antisymmetric representation of SU(Nc). By carrying out the analog of Witten's analysis for the new orientifold large Nc limit, we show that baryons and solitons can also be identified in the orientifold large N c limit. However, in the orientifold large Nc limit, the interaction amplitudes and matrix elements scale with Nc-1 in the same way as soliton models scale with the generic meson coupling constant g rather than as Nc-1/2 as in the traditional large Nc limit.
AB - In the large Nc limit of QCD, baryons can be modeled as solitons, for instance, as Skyrmions. This modeling has been justified by Witten's demonstration that all properties of baryons and mesons scale with Nc-1/2 in the same way as the analogous meson-based soliton model scales with a generic meson-meson coupling constant g. An alternative large Nc limit (the orientifold large Nc limit) has recently been proposed in which quarks transform in the two-index antisymmetric representation of SU(Nc). By carrying out the analog of Witten's analysis for the new orientifold large Nc limit, we show that baryons and solitons can also be identified in the orientifold large N c limit. However, in the orientifold large Nc limit, the interaction amplitudes and matrix elements scale with Nc-1 in the same way as soliton models scale with the generic meson coupling constant g rather than as Nc-1/2 as in the traditional large Nc limit.
KW - 1/N Expansion
KW - QCD
KW - Solitons Monopoles and Instantons
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U2 - 10.1088/1126-6708/2006/12/035
DO - 10.1088/1126-6708/2006/12/035
M3 - Review article
AN - SCOPUS:33846188108
SN - 1029-8479
VL - 2006
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 035
ER -