Truncated Hilbert space approach to the 2d ϕ 4 theory

Z. Bajnok, Marton Lajer

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We apply the massive analogue of the truncated conformal space approach to study the two dimensional ϕ4 theory in finite volume. We focus on the broken phase and determine the finite size spectrum of the model numerically. We interpret the results in terms of the Bethe-Yang spectrum, from which we extract the infinite volume masses and scattering matrices for various couplings. We compare these results against semiclassical analysis and perturbation theory. We also analyze the critical point of the model and confirm that it is in the Ising universality class.

Original languageEnglish
Article number50
JournalJournal of High Energy Physics
Volume2016
Issue number10
DOIs
Publication statusPublished - Oct 1 2016

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Hilbert space
S matrix theory
critical point
perturbation theory
analogs
matrices

Keywords

  • Field Theories in Lower Dimensions
  • Nonperturbative Effects

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Truncated Hilbert space approach to the 2d ϕ 4 theory. / Bajnok, Z.; Lajer, Marton.

In: Journal of High Energy Physics, Vol. 2016, No. 10, 50, 01.10.2016.

Research output: Contribution to journalArticle

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