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    Potential Flow Of The Renormalisation Group In A Simple Two Component Model


    Dolan, Brian P. (1993) Potential Flow Of The Renormalisation Group In A Simple Two Component Model. Working Paper. arXiv.

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    Abstract

    The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with ϕ4 self interaction coupled, via Yukawa coupling, to a fermion in flat four dimensional space. The RG flow on the two dimensional space of couplings, G, is shown to be derivable from a potential to sixth order in the couplings, which requires two loop calculations of the β-functions. The identification of a potential requires the introduction of a metric on G and it is shown that the metric defined by Zamalodchikov, in terms of two point correlation functions of composite operators, gives potential flow to this order.

    Item Type: Monograph (Working Paper)
    Keywords: Potential Flow; Renormalisation Group; Simple Two Component Model;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10510
    Identification Number: https://doi.org/10.1142/S0217732393002051
    Depositing User: Dr. Brian Dolan
    Date Deposited: 19 Feb 2019 15:43
    Publisher: arXiv
    URI:

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