Critical behavior of the Higgs- and Goldstone-mass gaps for the two-dimensional S=1 XY model

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Abstract

Spectral properties for the two-dimensional quantum S=1 XY model were investigated with the exact diagonalization method. In the symmetry-broken phase, there appear the massive Higgs and massless Goldstone excitations, which correspond to the longitudinal and transverse modes of the spontaneous magnetic moment, respectively. The former excitation branch is embedded in the continuum of the latter, and little attention has been paid to the details, particularly, in proximity to the critical point. The finite-size-scaling behavior is improved by extending the interaction parameters. An analysis of the critical amplitude ratio for these mass gaps is made.

Original languageEnglish
Pages (from-to)555-562
Number of pages8
JournalNuclear Physics, Section B
Volume897
DOIs
Publication statusPublished - Aug 1 2015

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excitation
proximity
broken symmetry
critical point
magnetic moments
continuums
scaling
interactions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Critical behavior of the Higgs- and Goldstone-mass gaps for the two-dimensional S=1 XY model. / Nishiyama, Yoshihiro.

In: Nuclear Physics, Section B, Vol. 897, 01.08.2015, p. 555-562.

Research output: Contribution to journalArticle

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