Loop-TNR analysis of CP(1) model with theta term

Loop-TNR analysis of CP(1) model with theta term

The phase structure of the two dimensional lattice CP(1) model in the presence of the θ term is analyzed by tensor network methods. The tensor renormalization group, which is a standard renormalization method of tensor networks, is used for the regions θ = 0 and θ ≠ 0. Loop-TNR, which is more suitab...

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Main Authors: Kawauchi Hikaru, Takeda Shinji
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817511015
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spelling doaj-cc39f5096e374f48910313ce73b8904b2021-08-02T11:11:10ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011751101510.1051/epjconf/201817511015epjconf_lattice2018_11015Loop-TNR analysis of CP(1) model with theta termKawauchi HikaruTakeda ShinjiThe phase structure of the two dimensional lattice CP(1) model in the presence of the θ term is analyzed by tensor network methods. The tensor renormalization group, which is a standard renormalization method of tensor networks, is used for the regions θ = 0 and θ ≠ 0. Loop-TNR, which is more suitable for the analysis of near criticality, is also implemented for the region θ = 0. The application of Loop-TNR for the region θ ≠ 0 is left for future work.https://doi.org/10.1051/epjconf/201817511015
collection DOAJ
language English
format Article
sources DOAJ
author Kawauchi Hikaru
Takeda Shinji
spellingShingle Kawauchi Hikaru
Takeda Shinji
Loop-TNR analysis of CP(1) model with theta term
EPJ Web of Conferences
author_facet Kawauchi Hikaru
Takeda Shinji
author_sort Kawauchi Hikaru
title Loop-TNR analysis of CP(1) model with theta term
title_short Loop-TNR analysis of CP(1) model with theta term
title_full Loop-TNR analysis of CP(1) model with theta term
title_fullStr Loop-TNR analysis of CP(1) model with theta term
title_full_unstemmed Loop-TNR analysis of CP(1) model with theta term
title_sort loop-tnr analysis of cp(1) model with theta term
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description The phase structure of the two dimensional lattice CP(1) model in the presence of the θ term is analyzed by tensor network methods. The tensor renormalization group, which is a standard renormalization method of tensor networks, is used for the regions θ = 0 and θ ≠ 0. Loop-TNR, which is more suitable for the analysis of near criticality, is also implemented for the region θ = 0. The application of Loop-TNR for the region θ ≠ 0 is left for future work.
url https://doi.org/10.1051/epjconf/201817511015
work_keys_str_mv AT kawauchihikaru looptnranalysisofcp1modelwiththetaterm
AT takedashinji looptnranalysisofcp1modelwiththetaterm
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