### Abstract

Off-diagonal profiles φ_{od}(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 language | English |
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Journal | Journal of Physics A: Mathematical and General |

Volume | 30 |

Issue number | 5 |

DOIs | |

Publication status | Published - Mar 7 1997 |

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### 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.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 30, no. 5. https://doi.org/10.1088/0305-4470/30/5/006

}

TY - JOUR

T1 - Off-diagonal density profiles and conformal invariance

AU - Turban, Loïc

AU - Iglói, F.

PY - 1997/3/7

Y1 - 1997/3/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0041182326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041182326&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/30/5/006

DO - 10.1088/0305-4470/30/5/006

M3 - Article

AN - SCOPUS:0041182326

VL - 30

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 5

ER -