Kosterlitz-Thouless theory and lattice artifacts

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The massive continuum limit of the (1 + 1)-dimensional O(2) nonlinear σ-model (XY-model) is studied using its equivalence to the sine-Gordon model at its asymptotically free point. It is shown that leading lattice artifacts are universal but they vanish only as inverse powers of the logarithm of the correlation length. Such leading artifacts are calculated for the case of the scattering phase shifts and the correlation function of the Noether current using the bootstrap S-matrix and perturbation theory respectively.

Original languageEnglish
Pages (from-to)5237-5250
Number of pages14
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number25
DOIs
Publication statusPublished - 2001

Fingerprint

XY Model
Matrix Theory
Noether
Continuum Limit
Correlation Length
Phase Shift
Logarithm
Bootstrap
Perturbation Theory
Nonlinear Model
artifacts
Correlation Function
Vanish
Scattering
Equivalence
S matrix theory
logarithms
Phase shift
equivalence
phase shift

ASJC Scopus subject areas

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

Cite this

Kosterlitz-Thouless theory and lattice artifacts. / Balog, J.

In: Journal of Physics A: Mathematical and General, Vol. 34, No. 25, 2001, p. 5237-5250.

Research output: Contribution to journalArticle

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