Image-processing the topological charge density in the CPN-1 model

Yuya Abe, Kenji Fukushima, Yoshimasa Hidaka, Hiroaki Matsueda, Koichi Murase, Shoichi Sasaki

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We study the topological charge density distribution using the 2D CPN-1 model. We numerically compute not only the topological susceptibility, which is a spatially global quantity, to probe the topological properties of the whole system, but also the topological charge correlator with finite momentum. We perform a Fourier power spectrum analysis for the topological charge density for various values of the inverse temperature β. We propose to utilize the Fourier entropy as a convenient measure to characterize spatial distribution patterns and demonstrate that the Fourier entropy exhibits nontrivial temperature dependence. We also consider the snapshot entropy defined with the singular value decomposition, which also turns out to behave nonmonotonically with the temperature. We give a possible interpretation suggested from the strong-coupling analysis.

Original languageEnglish
Article number013D02
JournalProgress of Theoretical and Experimental Physics
Issue number1
Publication statusPublished - 2020 Jan 8


  • B38
  • D50

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Image-processing the topological charge density in the CPN-1 model'. Together they form a unique fingerprint.

Cite this