The SU(N) matrix model at two loops

    Research output: Contribution to journalArticle

    Abstract

    Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.
    Original languageEnglish
    Pages (from-to)online - approx 5-20pp
    JournalJournal of High Energy Physics
    Volume2005
    Issue number9
    DOIs
    Publication statusPublished - 2005

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    matrices
    gravitons
    supergravity
    scattering amplitude
    scattering
    energy

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    Grasso, Darren ; Mcarthur, Ian. / The SU(N) matrix model at two loops. In: Journal of High Energy Physics. 2005 ; Vol. 2005, No. 9. pp. online - approx 5-20pp.
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    abstract = "Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.",
    author = "Darren Grasso and Ian Mcarthur",
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    language = "English",
    volume = "2005",
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    The SU(N) matrix model at two loops. / Grasso, Darren; Mcarthur, Ian.

    In: Journal of High Energy Physics, Vol. 2005, No. 9, 2005, p. online - approx 5-20pp.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - The SU(N) matrix model at two loops

    AU - Grasso, Darren

    AU - Mcarthur, Ian

    PY - 2005

    Y1 - 2005

    N2 - Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.

    AB - Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.

    U2 - 10.1088/1126-6708/2005/09/075

    DO - 10.1088/1126-6708/2005/09/075

    M3 - Article

    VL - 2005

    SP - online - approx 5-20pp

    JO - Journal of High Energy Physics

    JF - Journal of High Energy Physics

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