50,672 research outputs found

    On Quillen's calculation of graded KK-theory

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    We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This in turn allows us to use inductions and calculate graded K-theory of Z^m-graded rings. Here Z is the ring of integers and N positive natural numbers

    Mapping the x dependence of the axial anomaly in polarised deep inelastic scattering

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    We discuss the role of the U(1) axial anomaly in the spin structure functions of the nucleon, with particular emphasis on how one might determine its x dependence in present and future deep inelastic scattering experiments. We focus on the C-odd spin structure function g3 and also the deuteron structure function g1^d.Comment: 11pages Latex, 6 Figs. appended as .ps files after main text, Cavendish preprint HEP-93/

    Proton spin structure and the axial U(1) problem

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    We emphasise the relation between the spin structure of the proton and the axial U(1) problem. New experiments motivated by the proton spin problem which could shed light on the nature of U(1) symmetry breaking in QCD are discussed.Comment: Invited talk at the Workshop on the Spin Structure of the Proton and Polarized Collider Physics, Trento (July 23-28, 2001), 6 pages, 1 figur

    Stopping times are hitting times: a natural representation

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    There exists a simple, didactically useful one-to-one relationship between stopping times and adapted c\`agl\`ad (LCRL) processes that are non-increasing and take the values 0 and 1 only. As a consequence, stopping times are always hitting times

    The Philanthropic Landscape in the United States: A Topology of Trends

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    Over the last decade, the field of philanthropy has been in a constant state of evolution. New wealth has brought new philanthropists into the field, many seeking to apply their business acumen to their philanthropic work. There also has been a corresponding growth in consultants and advisors providing guidance and assistance on all aspects of giving. The growth of new technologies has revolutionized communications, social organizing, data collection, and program delivery. Additionally, the line between sectors is blurring and many funders and donors are exploring partnerships across sectors, if not focusing their philanthropic efforts solely on private sector driven initiatives. This paper was commissioned as part of the process undertaken by the Africa Grantmakers' Affinity Group (AGAG) to develop a new strategic plan that responds to changes int he landscapes in Africa and in philanthropy. The changes in philanthropy are vast and a full cataloging of them is outside of the scope of this brief paper. What this paper strives to provide is a brief overview of the major trends that have been driving philanthropy over the last three to five years and where possible, provide specific examples of these various types of philanthropy at work in Africa with the hope of fostering reflection and coversation as AGAG moves into its strategic planning process

    Gluonic effects in eta and eta-prime physics

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    We review the theory and phenomenology of the axial U(1) problem with emphasis on the role of gluonic degrees of freedom in eta and eta' production processes, especially the low-energy pN -> pN eta and pN -> pN eta' reactions.Comment: 20 pages, 2 figures, Invited talk at the WASA Workshop on Eta Physics, October 2001, Uppsala, Swede