Off-diagonal density profiles and conformal invariance

Loïc Turban, F. Iglói

Research output: Contribution to journalArticle

16 Citations (Scopus)

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
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number5
DOIs
Publication statusPublished - Mar 7 1997

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Conformal Invariance
Density Profile
Invariance
Strip
invariance
strip
Hamiltonians
Ising model
profiles
Excited states
Energy Density
Ground state
Correlation Function
flux density
Boundary conditions
Conformal Transformation
half planes
conformal mapping
Finite-size Scaling
Excited States

ASJC Scopus subject areas

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

Cite this

Off-diagonal density profiles and conformal invariance. / Turban, Loïc; Iglói, F.

In: Journal of Physics A: Mathematical and General, Vol. 30, No. 5, 07.03.1997.

Research output: Contribution to journalArticle

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