Fermion flavors in quaternion basis and infrared QCD

Details Fermion flavors in quaternion basis and infrared QCD Fermion flavors in quaternion basis and infrared QCD

2011-04-07

arxiv.org/abs/1104.1225v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 15 figures

Scientific paper

10.1007/s00601-2011-274-1

I analyze the lattice simulation data of the Domain Wall Fermion in quaternion basis. As pointed out by Atiyah and Ward, the minimum action solution for SU(2) Yang-Mills fields in Euclidean 4-space correspond, via Penrose twistor transform, to algebraic bundles on the complex projective 3-space. Assuming dominance of correlation between the fermions on the domain walls via exchange of instantons, I extract parameters necessary for defining gauge fields of Atiyah-Ward ansatz. The QCD effective coupling in the infrared and the relation between the number of flavors and the infrared fixed point is investigated. Consequence of this lepton flavor assignment to phenomenology of baryons is also discussed.

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