Off-diagonal density profiles and conformal invariance

Loïc Turban, Ferenc Iglói

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Abstract

Off-diagonal profiles φod(υ) of local densities (e.g. order parameter or energy density) are calculated at the bulk critical point, by conformal methods, on a strip with transverse coordinate υ, for different types of boundary conditions (free, fixed and mixed). Such profiles, which are defined by the non-vanishing matrix element 〈0|φ̂(υ)|φ〉 of the appropriate operator φ̂(υ) between the ground state and the corresponding lowest excited state of the strip Hamiltonian, enter into the expression of two-point correlation functions on a strip. They are of interest in the finite-size scaling study of bulk and surface critical behaviour since they allow the elimination of regular contributions. The conformal profiles, which are obtained through a conformal transformation of the correlation functions from the half-plane to the strip, are in agreement with the results of a direct calculation, for the energy density of the two-dimensional Ising model.

Original languageEnglish
Pages (from-to)L105-L111
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number5
DOIs
Publication statusPublished - Mar 7 1997

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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