Non-linear integral equation and finite volume spectrum of sine-gordon theory

G. Feverati, F. Ravanini, G. Takács

Research output: Contribution to journalArticle

84 Citations (Scopus)

Abstract

We examine the connection between the non-linear integral equation (NLIE) derived from light-cone lattice and sine-Gordon quantum field theory, considered as a perturbed c = 1 conformal field theory. After clarifying some delicate points of the NLIE deduction from the lattice, we compare both analytic and numerical predictions of the NLIE to previously known results in sine-Gordon theory. To provide the basis for the numerical comparison we use data from Truncated Conformal Space method. Together with results from analysis of infrared and ultraviolet asymptotics, we find evidence that it is necessary to change the rule of quantization proposed by Destri and de Vega to a new one which includes as a special case that of Fioravanti et al. This way we find strong evidence for the validity of the NLIE as a description of the finite size effects of sine-Gordon theory.

Original languageEnglish
Pages (from-to)543-586
Number of pages44
JournalNuclear Physics B
Volume540
Issue number3
DOIs
Publication statusPublished - Feb 15 1999

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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