9,374 research outputs found

    The contribution of O(alpha) radiative corrections to the renormalised anisotropy and application to general tadpole improvement schemes: addendum to "One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice" [hep-lat/0208010]

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    General O(alpha) radiative corrections to lattice actions may be interpreted as counterterms that give additive contributions to the one-loop renormalisation of the anisotropy. The effect of changing the radiative coefficients is thus easily calculable. In particular, the results obtained in a previous paper for Landau mean link improved actions apply in any tadpole improvement scheme. We explain how this method can be exploited when tuning radiatively improved actions. Efficient methods for self-consistently tuning tadpole improvement factors are also discussed.Comment: 3 pages of revte

    A new dawn? The Roman Catholic Church and environmental issues

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    This is a PDF version of an article published in New Blackfriars© 1997. The definitive version is available at www.blackwell-synergy.com.This article discusses the stance of the Roman Catholic Church on environmental issues and argues that the Church tends to stay on the fringe rather than get involved. Some of the ways in which Roman Catholic theologians have incorporated environmental issues into theological reflection is discussed, as are environmental challenges facing the Church in Britain (conservation, resources, biodiversity, animal welfare, biotechnology, cooperate/individual ethics, environmental justice, economics/policy development, and global issues)

    Tree-Level Amplitudes in N=8 Supergravity

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    We present an algorithm for writing down explicit formulas for all tree amplitudes in N=8 supergravity, obtained from solving the supersymmetric on-shell recursion relations. The formula is patterned after one recently obtained for all tree amplitudes in N=4 super Yang-Mills which involves nested sums of dual superconformal invariants. We find that all graviton amplitudes can be written in terms of exactly the same structure of nested sums with two modifications: the dual superconformal invariants are promoted from N=4 to N=8 superspace in the simplest manner possible--by squaring them--and certain additional non-dual conformal gravity dressing factors (independent of the superspace coordinates) are inserted into the nested sums. To illustrate the procedure we give explicit closed-form formulas for all NMHV, NNMHV and NNNMV gravity superamplitudes.Comment: 27 pages, 5 figures, v2: typos correcte

    Using an identity lens : constructive working with children in the criminal justice system

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    Research has shown that identity, and how you feel about yourself, can be key to moving forward with life and away from crime. Working with the University of Salford, Youth Offending Teams and supported by the Barrow Cadbury Trust, this resource has been developed to promote a constructive, identity-focused approach to ultimately help divert children away from progressing further through the criminal justice system. Using the principles of the Nacro-led Beyond Youth Custody programme, this toolkit outlines how these can be applied to working with children before custody to support them towards positive outcomes and prevent further offending

    First-principles quantum dynamics in interacting Bose gases I: The positive P representation

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    The performance of the positive P phase-space representation for exact many-body quantum dynamics is investigated. Gases of interacting bosons are considered, where the full quantum equations to simulate are of a Gross-Pitaevskii form with added Gaussian noise. This method gives tractable simulations of many-body systems because the number of variables scales linearly with the spatial lattice size. An expression for the useful simulation time is obtained, and checked in numerical simulations. The dynamics of first-, second- and third-order spatial correlations are calculated for a uniform interacting 1D Bose gas subjected to a change in scattering length. Propagation of correlations is seen. A comparison is made to other recent methods. The positive P method is particularly well suited to open systems as no conservation laws are hard-wired into the calculation. It also differs from most other recent approaches in that there is no truncation of any kind.Comment: 21 pages, 7 figures, 2 tables, IOP styl

    The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM

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    We provide an analytic formula for the (rescaled) one-loop scalar hexagon integral Φ~6\tilde\Phi_6 with all external legs massless, in terms of classical polylogarithms. We show that this integral is closely connected to two integrals appearing in one- and two-loop amplitudes in planar mathcalN=4\\mathcal{N}=4 super-Yang-Mills theory, Ω(1)\Omega^{(1)} and Ω(2)\Omega^{(2)}. The derivative of Ω(2)\Omega^{(2)} with respect to one of the conformal invariants yields Φ~6\tilde\Phi_6, while another first-order differential operator applied to Φ~6\tilde\Phi_6 yields Ω(1)\Omega^{(1)}. We also introduce some kinematic variables that rationalize the arguments of the polylogarithms, making it easy to verify the latter differential equation. We also give a further example of a six-dimensional integral relevant for amplitudes in mathcalN=4\\mathcal{N}=4 super-Yang-Mills.Comment: 18 pages, 2 figure

    Relating Superembeddings and Non-linear Realisations

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    We discuss the relation between the superembedding method for deriving worldvolume actions for D-branes and the method of Partially Broken Global Supersymmetry based upon linear and non-linear realisations of SUSY. We give the explicit relation for the cases of space filling branes in 3 and 4 dimensions and show that the standard F-constraint of the superembedding method is the source of the required covariant non-linear constraints for the PBGS method.Comment: 19 pages. Improved spelling, references adde

    Naturally-phasematched second harmonic generation in a whispering gallery mode resonator

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    We demonstrate for the first time natural phase matching for optical frequency doubling in a high-Q whispering gallery mode resonator made of Lithium Niobate. A conversion efficiency of 9% is achieved at 30 micro Watt in-coupled continuous wave pump power. The observed saturation pump power of 3.2 mW is almost two orders of magnitude lower than the state-of-the-art. This suggests an application of our frequency doubler as a source of non-classical light requiring only a low-power pump, which easily can be quantum noise limited. Our theoretical analysis of the three-wave mixing in a whispering gallery mode resonator provides the relative conversion efficiencies for frequency doubling in various modes
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