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    Geodesic renormalization group flow


    Dolan, Brian P. (1997) Geodesic renormalization group flow. Working Paper. arXiv.

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    Abstract

    It is shown that the renormalisation group flow in coupling constant space can be interpreted in terms of a dynamical equation for the couplings analogous to viscous fluid flow under the action of a potential. For free scalar field theory the flow is geodesic in two dimensions, while for D≠2 it is only geodesic in certain limits, e.g. for vanishing external source. For the 1-D Ising model the renormalisation flow is geodesic when the external magnetic field vanishes.

    Item Type: Monograph (Working Paper)
    Keywords: Geodesic; renormalization group flow; coupling constant space;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10501
    Identification Number: https://doi.org/10.1142/S0217751X97001407
    Depositing User: Dr. Brian Dolan
    Date Deposited: 18 Feb 2019 16:38
    Publisher: arXiv
    URI:

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