Form factors in finite volume I: Form factor bootstrap and truncated conformal space

B. Pozsgay, G. Takács

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

We describe the volume dependence of matrix elements of local fields to all orders in inverse powers of the volume (i.e., only neglecting contributions that decay exponentially with volume). Using the scaling Lee-Yang model and the Ising model in a magnetic field as testing ground, we compare them to matrix elements extracted in finite volume using truncated conformal space approach to exact form factors obtained using the bootstrap method. We obtain solid confirmation for the form factor bootstrap, which is different from all previously available tests in that it is a non-perturbative and direct comparison of exact form factors to multi-particle matrix elements of local operators, computed from the Hamiltonian formulation of the quantum field theory. We also demonstrate that combining form factor bootstrap and truncated conformal space is an effective method for evaluating finite volume form factors in integrable field theories over the whole range in volume.

Original languageEnglish
Pages (from-to)167-208
Number of pages42
JournalNuclear Physics B
Volume788
Issue number3
DOIs
Publication statusPublished - Jan 14 2008

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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