452 research outputs found

    Asymmetric scattering by non-hermitian potentials

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    The scattering of quantum particles by non-hermitian (generally nonlocal) potentials in one dimension may result in asymmetric transmission and/or reflection from left and right incidence. Eight generalized symmetries based on the discrete Klein's four-group (formed by parity, time reversal, their product, and unity) are used together with generalized unitarity relations to determine the possible and/or forbidden scattering asymmetries. Six basic device types are identified when the scattering coefficients (squared moduli of scattering amplitudes) adopt zero/one values, and transmission and/or reflection are asymmetric. They can pictorially be described as a one-way mirror, a one-way barrier (a Maxwell pressure demon), one-way (transmission or reflection) filters, a mirror with unidirectional transmission, and a transparent, one-way reflector. We design potentials for these devices and also demonstrate that the behavior of the scattering coefficients can be extended to a broad range of incident momenta

    Text Production in Bebo: a study of three children's text production in online social networking sites

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    Full version unavailable due to 3rd party copyright restrictionsFull version unavailable due to 3rd party copyright restrictions.This thesis aims to explore three pre-teenage children’s text production in online social networking sites. Social networking is a mainstream youth activity in the UK, conducted by (at the time of writing) almost 50% of 10-12 year old internet users (Ofcom, 2011, p.44). While social networking has been the subject of much interest amongst scholars and policy-makers, little has been published that documents the use of social networking amongst pre-teenage children. The literature that does exist is largely concerned with documenting usage (Ofcom, 2011; Livingstone and Haddon, 2010), and children’s safety in these contexts (Department for Children, Schools and Families (DCSF)/Byron 2010; DCSF/Byron, 2008; Livingstone et al., 2011a). This study aims to explore children’s text production in social networking sites with rightful regard for this concern, but with a focus on how children behave as text producers in these contexts. Working from an interpretive qualitative research paradigm, a purposive sample of three children who used (at the time) the popular social networking site Bebo was selected. The children were interviewed using a semi-structured interview schedule three times between June 2008 and May 2009. Interviews were transcribed using a line by line coding method. To support these data and contextualise analysis, screenshots of the children’s profile pages were also collected at each interview. Using a constructivist grounded theory approach (Charmaz, 2006), these data were analysed within data sets around each interview incident, and then synthesised to build a case study for each participant. This recursive process involved initial and focused coding, where following the construction of key codes for each data set, the codes were organised under thematic headings and finally used to construct tentative categories that described how the children behaved as text producers. Four tentative categories were constructed to describe the participants’ behaviour: text production to achieve social positioning; text production to achieve social control; text production to enact a text producing role; and text production for pleasure. Based upon the elaboration of these categories, a model of text production as mastery is proposed. In this model, children’s text production is regarded in relation two spectrums of mastery: a spectrum of social control and a spectrum of textual crafting. This study concludes by recommending that the social networking context must be recognised by educators as a meaningful context in which children’s mastery of these critical skills can be developed in order that they can they learn to be critical and masterful text producers in the new digital age (Gee, 2011 and Hayes, 2011)

    The mass of the b-quark from lattice NRQCD and lattice perturbation theory

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    We present a determination of the b-quark mass accurate through O(\alpha_s^2) in perturbation theory and including partial contributions at O(\alpha_s^3). Nonperturbative input comes from the calculation of the Upsilon and B_s energies in lattice QCD including the effect of u, d and s sea quarks. We use an improved NRQCD action for the b-quark. This is combined with the heavy quark energy shift in NRQCD determined using a mixed approach of high-beta simulation and automated lattice perturbation theory. Comparison with experiment enables the quark mass to be extracted: in the MS bar scheme we find m_b(m_b) = 4.166(43) GeV.Comment: v2 - corrected some typos and an error in the summary plo

    B-meson decay constants: a more complete picture from full lattice QCD

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    We extend the picture of BB-meson decay constants obtained in lattice QCD beyond those of the BB, BsB_s and BcB_c to give the first full lattice QCD results for the B∗B^*, Bs∗B^*_s and Bc∗B^*_c. We use improved NonRelativistic QCD for the valence bb quark and the Highly Improved Staggered Quark (HISQ) action for the lighter quarks on gluon field configurations that include the effect of u/du/d, ss and cc quarks in the sea with u/du/d quark masses going down to physical values. For the ratio of vector to pseudoscalar decay constants, we find fB∗/fBf_{B^*}/f_B = 0.941(26), fBs∗/fBsf_{B^*_s}/f_{B_s} = 0.953(23) (both 2σ2\sigma less than 1.0) and fBc∗/fBcf_{B^*_c}/f_{B_c} = 0.988(27). Taking correlated uncertainties into account we see clear indications that the ratio increases as the mass of the lighter quark increases. We compare our results to those using the HISQ formalism for all quarks and find good agreement both on decay constant values when the heaviest quark is a bb and on the dependence on the mass of the heaviest quark in the region of the bb. Finally, we give an overview plot of decay constants for gold-plated mesons, the most complete picture of these hadronic parameters to date.Comment: 20 pages, 9 figures. Minor updates to the discussion in several places and some additional reference

    Direct determination of the strange and light quark condensates from full lattice QCD

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    We determine the strange quark condensate from lattice QCD for the first time and compare its value to that of the light quark and chiral condensates. The results come from a direct calculation of the expectation value of the trace of the quark propagator followed by subtraction of the appropriate perturbative contribution, derived here, to convert the non-normal-ordered mψ̅ ψ to the MS̅ scheme at a fixed scale. This is then a well-defined physical “nonperturbative” condensate that can be used in the operator product expansion of current-current correlators. The perturbative subtraction is calculated through O(αs) and estimates of higher order terms are included through fitting results at multiple lattice spacing values. The gluon field configurations used are “second generation” ensembles from the MILC collaboration that include 2+1+1 flavors of sea quarks implemented with the highly improved staggered quark action and including u/d sea quarks down to physical masses. Our results are ⟹s̅ s⟩MS̅ (2  GeV)=-(290(15)  MeV)3, ⟹l̅ l⟩MS̅ (2  GeV)=-(283(2)  MeV)3, where l is a light quark with mass equal to the average of the u and d quarks. The strange to light quark condensate ratio is 1.08(16). The light quark condensate is significantly larger than the chiral condensate in line with expectations from chiral analyses. We discuss the implications of these results for other calculations

    Lorentzian spin foam amplitudes: graphical calculus and asymptotics

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    The amplitude for the 4-simplex in a spin foam model for quantum gravity is defined using a graphical calculus for the unitary representations of the Lorentz group. The asymptotics of this amplitude are studied in the limit when the representation parameters are large, for various cases of boundary data. It is shown that for boundary data corresponding to a Lorentzian simplex, the asymptotic formula has two terms, with phase plus or minus the Lorentzian signature Regge action for the 4-simplex geometry, multiplied by an Immirzi parameter. Other cases of boundary data are also considered, including a surprising contribution from Euclidean signature metrics.Comment: 30 pages. v2: references now appear. v3: presentation greatly improved (particularly diagrammatic calculus). Definition of "Regge state" now the same as in previous work; signs change in final formula as a result. v4: two references adde

    Effective action and semiclassical limit of spin foam models

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    We define an effective action for spin foam models of quantum gravity by adapting the background field method from quantum field theory. We show that the Regge action is the leading term in the semi-classical expansion of the spin foam effective action if the vertex amplitude has the large-spin asymptotics which is proportional to an exponential function of the vertex Regge action. In the case of the known three-dimensional and four-dimensional spin foam models this amounts to modifying the vertex amplitude such that the exponential asymptotics is obtained. In particular, we show that the ELPR/FK model vertex amplitude can be modified such that the new model is finite and has the Einstein-Hilbert action as its classical limit. We also calculate the first-order and some of the second-order quantum corrections in the semi-classical expansion of the effective action.Comment: Improved presentation, 2 references added. 15 pages, no figure

    Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation

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    An important aspect in defining a path integral quantum theory is the determination of the correct measure. For interacting theories and theories with constraints, this is non-trivial, and is normally not the heuristic "Lebesgue measure" usually used. There have been many determinations of a measure for gravity in the literature, but none for the Palatini or Holst formulations of gravity. Furthermore, the relations between different resulting measures for different formulations of gravity are usually not discussed. In this paper we use the reduced phase technique in order to derive the path-integral measure for the Palatini and Holst formulation of gravity, which is different from the Lebesgue measure up to local measure factors which depend on the spacetime volume element and spatial volume element. From this path integral for the Holst formulation of GR we can also give a new derivation of the Plebanski path integral and discover a discrepancy with the result due to Buffenoir, Henneaux, Noui and Roche (BHNR) whose origin we resolve. This paper is the first in a series that aims at better understanding the relation between canonical LQG and the spin foam approach.Comment: 27 pages, minor correction
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