Sine-Gordon form factors in finite volume

G. Fehér, G. Takács

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We compare form factors in sine-Gordon theory, obtained via the bootstrap, to finite volume matrix elements computed using the truncated conformal space approach. For breather form factors, this is essentially a straightforward application of a previously developed formalism that describes the volume dependence of operator matrix elements up to corrections exponentially decaying with the volume. In the case of solitons, it is necessary to generalize the formalism to include effects of non-diagonal scattering. In some cases it is also necessary to take into account some of the exponential corrections (so-called μ-terms) to get agreement with the numerical data. For almost all matrix elements the comparison is a success, with the puzzling exception of some breather matrix elements that contain disconnected pieces. We also give a short discussion of the implications of the observed behavior of μ-terms on the determination of operator matrix elements from finite volume data, as occurs e.g. in the context of lattice field theory.

Original languageEnglish
Pages (from-to)441-467
Number of pages27
JournalNuclear Physics B
Volume852
Issue number2
DOIs
Publication statusPublished - Nov 11 2011

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form factors
matrices
formalism
operators
solitary waves
scattering

Keywords

  • Finite size effects
  • Form factors
  • Integrable models
  • Sine-Gordon model

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Sine-Gordon form factors in finite volume. / Fehér, G.; Takács, G.

In: Nuclear Physics B, Vol. 852, No. 2, 11.11.2011, p. 441-467.

Research output: Contribution to journalArticle

Fehér, G. ; Takács, G. / Sine-Gordon form factors in finite volume. In: Nuclear Physics B. 2011 ; Vol. 852, No. 2. pp. 441-467.
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