Low-Energy Limit of Yang-Mills with Massless Adjoint Quarks: Chiral Lagrangian and Skyrmions

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dc.creatorAuzzi, R.
dc.creatorShifman, M.
dc.date2006-12-19
dc.date2007-04-26
dc.date.accessioned2026-07-07T11:23:27Z
dc.date.available2026-07-07T11:23:27Z
dc.descriptionIf the fundamental quarks of QCD are replaced by massless adjoint quarks, the pattern of the chiral symmetry breaking drastically changes compared to the standard one. It becomes SU(N_f) -> SO(N_f). While for N_f=2 the chiral Lagrangian describing the 'pion" dynamics is well-known, this is not the case at N_f>2. We outline a general strategy for deriving chiral Lagrangians for the coset spaces M_k=SU(k)/SO(k), and study in detail the case of N_f=k=3. We obtain two- and four-derivatives terms in the chiral Lagrangian on the coset space M_3 = SU(3)/SO(3), as well as the Wess-Zumino-Novikov-Witten term, in terms of an explicit parameterization of the quotient manifold. Then we discuss stable topological solitons supported by this Lagrangian. Aspects of relevant topological considerations scattered in the literature are reviewed. The same analysis applies to SO(N) gauge theories with N_f Weyl flavors in the vector representation.
dc.description23 pages, 2 figures; v.2 references added, a comment added; final version to be published in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/0612211
dc.identifierhttp://arxiv.org/abs/hep-th/0612211
dc.identifierJ.Phys.A40:6221-6238,2007
dc.identifierdoi:10.1088/1751-8113/40/23/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194894
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLow-Energy Limit of Yang-Mills with Massless Adjoint Quarks: Chiral Lagrangian and Skyrmions
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