8,966 research outputs found

    Leptonic CP Violation and Wolfenstein Parametrization for Lepton Mixing

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    We investigate a general structure of lepton mixing matrix resulting from the SUF_F(3) gauge family model with an appropriate vacuum structure of SUF_F(3) symmetry breaking. It is shown that the lepton mixing matrix can be parametrized by using the Wolfenstein parametrization method to characterize its deviation from the tri-bimaximal mixing. A general analysis for the allowed leptonic CP-violating phase δe\delta_e and the leptonic Wolfenstein parameters λe\lambda_e, AeA_e, ρe\rho_e is carried out based on the observed lepton mixing angles. We demonstrate how the leptonic CP violation correlates to the leptonic Wolfenstein parameters. It is found that the phase δe\delta_e is strongly constrained and only a large or nearly maximal leptonic CP-violating phase δe3π/4π/2|\delta_e| \simeq 3\pi/4 \sim \pi/2 is favorable when λe>0.15\lambda_e > 0.15 . In particular, when taking λe\lambda_e to be the Cabbibo angle \gl_e\simeq \lambda \simeq 0.225, a sensible result for leptonic Wolfenstein parameters and CP violation is obtained with Ae=1.40 A_e=1.40, ρe=0.20\rho_e=0.20, \delta_{e}\sim 101.76\;^o, which is compatible with the one in quark sector. An interesting correlation between leptons and quarks is observed, which indicates a possible common origin of masses and mixing for the charged-leptons and quarks.Comment: 18 pages, 5 figures, sources of CP-violating phases are clarified, references adde

    E-Courant algebroids

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    In this paper, we introduce the notion of EE-Courant algebroids, where EE is a vector bundle. It is a kind of generalized Courant algebroid and contains Courant algebroids, Courant-Jacobi algebroids and omni-Lie algebroids as its special cases. We explore novel phenomena exhibited by EE-Courant algebroids and provide many examples. We study the automorphism groups of omni-Lie algebroids and classify the isomorphism classes of exact EE-Courant algebroids. In addition, we introduce the concepts of EE-Lie bialgebroids and Manin triples.Comment: 29 pages, no figur

    Dirac structures of omni-Lie algebroids

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    Omni-Lie algebroids are generalizations of Alan Weinstein's omni-Lie algebras. A Dirac structure in an omni-Lie algebroid \dev E\oplus \jet E is necessarily a Lie algebroid together with a representation on EE. We study the geometry underlying these Dirac structures in the light of reduction theory. In particular, we prove that there is a one-to-one correspondence between reducible Dirac structures and projective Lie algebroids in \huaT=TM\oplus E; we establish the relation between the normalizer NLN_{L} of a reducible Dirac structure LL and the derivation algebra \Der(\pomnib (L)) of the projective Lie algebroid \pomnib (L); we study the cohomology group H(L,ρL)\mathrm{H}^\bullet(L,\rho_{L}) and the relation between NLN_{L} and H1(L,ρL)\mathrm{H}^1(L,\rho_{L}); we describe Lie bialgebroids using the adjoint representation; we study the deformation of a Dirac structure LL, which is related with H2(L,ρL)\mathrm{H}^2(L,\rho_{L}).Comment: 23 pages, no figure, to appear in International Journal of Mathematic

    Scheme for deterministic Bell-state-measurement-free quantum teleportation

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    A deterministic teleportation scheme for unknown atomic states is proposed in cavity QED. The Bell state measurement is not needed in the teleportation process, and the success probability can reach 1.0. In addition, the current scheme is insensitive to the cavity decay and thermal field.Comment: 3 pages, no figur