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

@misc{citeulike:1007799, abstract = {If 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.}, archivePrefix = {arXiv}, author = {Auzzi, R. and Shifman, M.}, citeulike-article-id = {1007799}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0612211}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0612211}, day = {19}, eprint = {hep-th/0612211}, keywords = {adjoint\_matter, chiral, skymion}, month = {Dec}, posted-at = {2006-12-22 13:42:40}, priority = {3}, title = {Low-Energy Limit of Yang-Mills with Massless Adjoint Quarks: Chiral Lagrangian and Skyrmions}, url = {http://arxiv.org/abs/hep-th/0612211}, year = {2006} }

TY - ELEC ID - citeulike:1007799 L3 - citeulike-article-id:1007799 N2 - If 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. TI - Low-Energy Limit of Yang-Mills with Massless Adjoint Quarks: Chiral Lagrangian and Skyrmions KW - adjoint_matter KW - chiral KW - skymion AU - Auzzi, R AU - Shifman, M PY - 2006/Dec/19/ UR - http://arxiv.org/abs/hep-th/0612211 ER -