37,729 research outputs found

    Non-perturbative Renormalisation with Domain Wall Fermions

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    We present results from a study of the renormalisation of both quark bilinear and four-quark operators for the domain wall fermion action, using the non-perturbative renormalisation technique of the Rome-Southampton group. These results are from a quenched simulation, on a 16^3 x 32 lattice, with beta=6.0 and L_s=16.Comment: 4 pages, 6 figures, Lattice 2000 (Improvement and Renormalisation), RBC collaboration, Typos correcte

    Non-Perturbative Renormalisation using Domain Wall Fermions

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    The viability of the Non-Perturbative Renormalisation (NPR) method of the Rome/Southampton group is studied, for the first time, in the context of domain wall fermions. The procedure is used to extract the renormalisation coefficients of the various quark bilinears, as well as the four-fermion operators relevant to the ΔS=2\Delta S=2 effective Hamiltonian. The renormalisation of the ΔS=1\Delta S=1 Hamiltonian is also discussed.Comment: LATTICE99(Improvement and Renormalization),3 pages, LaTeX2e; minor typos correcte

    Chiral Corrections to the Hyperon Vector Form Factors

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    We present the complete calculation of the SU(3)-breaking corrections to the hyperon vector form factors up to O(p^4) in the Heavy Baryon Chiral Perturbation Theory. Because of the Ademollo-Gatto theorem, at this order the results do not depend on unknown low energy constants and allow to test the convergence of the chiral expansion. We complete and correct previous calculations and find that O(p^3) and O(1/M_0) corrections are important. We also study the inclusion of the decuplet degrees of freedom, showing that in this case the perturbative expansion is jeopardized. These results raise doubts on the reliability of the chiral expansion for hyperons.Comment: 20 pages, 4 figures, v2: published versio
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