Hierarchy of the low-lying excitations for the (2 + 1)-dimensional q = 3 Potts model in the ordered phase

Yoshihiro Nishiyama

doi:10.1016/j.nuclphysb.2016.12.024

Hierarchy of the low-lying excitations for the (2 + 1)-dimensional q = 3 Potts model in the ordered phase

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Abstract

The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m_2,3,4/m₁ (m₁: single-magnon mass), in proximity to the transition point.

Original language	English
Pages (from-to)	28-36
Number of pages	9
Journal	Nuclear Physics B
Volume	916
DOIs	https://doi.org/10.1016/j.nuclphysb.2016.12.024
Publication status	Published - Mar 1 2017

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Hierarchy of the low-lying excitations for the (2 + 1)-dimensional q = 3 Potts model in the ordered phase",

abstract = "The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.",

author = "Yoshihiro Nishiyama",

note = "Funding Information: This work was supported by a Grant-in-Aid for Scientific Research (C) from Japan Society for the Promotion of Science (Grant No. 25400402).",

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AB - The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.

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