Conformal correlation functions in the Brownian loop soup

Federico Camia, Alberto Gandolfi, Matthew Kleban

    Research output: Contribution to journalArticle

    Abstract

    We define and study a set of operators that compute statistical properties of the Brownian loop soup, a conformally invariant gas of random Brownian loops (Brownian paths constrained to begin and end at the same point) in two dimensions. We prove that the correlation functions of these operators have many of the properties of conformal primaries in a conformal field theory, and compute their conformal dimension. The dimensions are real and positive, but have the novel feature that they vary continuously as a periodic function of a real parameter. We comment on the relation of the Brownian loop soup to the free field, and use this relation to establish that the central charge of the loop soup is twice its intensity.

    Original languageEnglish (US)
    Pages (from-to)483-507
    Number of pages25
    JournalNuclear Physics, Section B
    Volume902
    DOIs
    StatePublished - Jan 1 2016

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    operators
    periodic functions
    gases

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Conformal correlation functions in the Brownian loop soup. / Camia, Federico; Gandolfi, Alberto; Kleban, Matthew.

    In: Nuclear Physics, Section B, Vol. 902, 01.01.2016, p. 483-507.

    Research output: Contribution to journalArticle

    Camia, Federico ; Gandolfi, Alberto ; Kleban, Matthew. / Conformal correlation functions in the Brownian loop soup. In: Nuclear Physics, Section B. 2016 ; Vol. 902. pp. 483-507.
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