Skyrmions in Yang--Mills Theories with Massless Adjoint Quarks

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dc.creatorAuzzi, R.
dc.creatorBolognesi, S.
dc.creatorShifman, M.
dc.date2008-04-01
dc.date.accessioned2026-07-07T11:33:28Z
dc.date.available2026-07-07T11:33:28Z
dc.descriptionDynamics of SU(N_c) Yang--Mills theories with N_f adjoint Weyl fermions is quite different from that of SU(N_c) gauge theories with fundamental quarks. The symmetry breaking pattern is SU(N_f) --> SO(N_f). The corresponding sigma model supports Skyrmions whose microscopic identification is not immediately clear. We address this issue as well as the issue of the Skyrmion stability. The case of N_f=2 had been considered previously. Here we discuss N_f >= 3. We discuss the coupling between the massless Goldstone bosons and massive composite fermions (with mass O(N_c^0)) from the standpoint of the low-energy chiral sigma model. We derive the Wess--Zumino--Novikov--Witten term and then determine Skyrmion statistics. We also determine their fermion number (mod 2) and observe an abnormal relation between the statistics and the fermion number. This explains the Skyrmion stability. In addition, we consider another microscopic theory -- SO(N_c) Yang--Mills with N_f Weyl fermions in the vectorial representation -- which has the same chiral symmetry breaking pattern and the same chiral Lagrangian. We discuss distinctive features of these two scenarios.
dc.description31 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0804.0229
dc.identifierhttp://arxiv.org/abs/0804.0229
dc.identifierPhys.Rev.D77:125029,2008
dc.identifierdoi:10.1103/PhysRevD.77.125029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197903
dc.subjectHigh Energy Physics - Theory
dc.titleSkyrmions in Yang--Mills Theories with Massless Adjoint Quarks
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