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    Interactions as intertwiners in 4D QFT 
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    Interactions as intertwiners in 4D QFT

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    Koch Interactions as intertwiners in 4D QFT 2016 Submitted.pdf (500.0Kb)
    Publisher
    Springer
    Publisher URL
    http://dx.doi.org/10.1007/JHEP03(2016)165
    DOI
    10.1007/JHEP03(2016)165
    Journal
    Journal of High Energy Physics
    ISSN
    1126-6708
    Metadata
    Show full item record
    Abstract
    In a recent paper we showed that the correlators of free scalar field theory in four dimensions can be constructed from a two dimensional topological field theory based on so(4,2) equivariant maps (intertwiners). The free field result, along with results of Frenkel and Libine on equivariance properties of Feynman integrals, are developed further in this paper. We show that the coefficient of the log term in the 1-loop 4-point conformal integral is a projector in the tensor product of so(4,2) representations. We also show that the 1-loop 4-point integral can be written as a sum of four terms, each associated with the quantum equation of motion for one of the four external legs. The quantum equation of motion is shown to be related to equivariant maps involving indecomposable representations of so(4,2), a phenomenon which illuminates multiplet recombination. The harmonic expansion method for Feynman integrals is a powerful tool for arriving at these results. The generalization to other interactions and higher loops is discussed.
    Authors
    Koch, RDM; Ramgoolam, S
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/12115
    Collections
    • Physics and Astronomy [1172]
    Licence information
    CC-BY
    Copyright statements
    © The Author(s) 2016
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