Tensor network analysis of critical coupling in two dimensional ϕ 4 theory

Abstract We make a detailed analysis of the spontaneous Z 2-symmetry breaking in the two dimensional real ϕ 4 theory with the tensor renormalization group approach, which allows us to take the thermodynamic limit easily and determine the physical observables without statistical uncertainties. We det...

Full description

Bibliographic Details
Main Authors: Daisuke Kadoh, Yoshinobu Kuramashi, Yoshifumi Nakamura, Ryo Sakai, Shinji Takeda, Yusuke Yoshimura
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2019)184
_version_ 1818993983681986560
author Daisuke Kadoh
Yoshinobu Kuramashi
Yoshifumi Nakamura
Ryo Sakai
Shinji Takeda
Yusuke Yoshimura
author_facet Daisuke Kadoh
Yoshinobu Kuramashi
Yoshifumi Nakamura
Ryo Sakai
Shinji Takeda
Yusuke Yoshimura
author_sort Daisuke Kadoh
collection DOAJ
description Abstract We make a detailed analysis of the spontaneous Z 2-symmetry breaking in the two dimensional real ϕ 4 theory with the tensor renormalization group approach, which allows us to take the thermodynamic limit easily and determine the physical observables without statistical uncertainties. We determine the critical coupling in the continuum limit employing the tensor network formulation for scalar field theories proposed in our previous paper. We obtain [λ/μ c 2 ]cont. = 10.913(56) with the quartic coupling λ and the renormalized critical mass μ c . The result is compared with previous results obtained by different approaches.
first_indexed 2024-12-20T20:50:43Z
format Article
id doaj.art-6c7e529b532147479406348a0396e540
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-12-20T20:50:43Z
publishDate 2019-05-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-6c7e529b532147479406348a0396e5402022-12-21T19:26:56ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019512210.1007/JHEP05(2019)184Tensor network analysis of critical coupling in two dimensional ϕ 4 theoryDaisuke Kadoh0Yoshinobu Kuramashi1Yoshifumi Nakamura2Ryo Sakai3Shinji Takeda4Yusuke Yoshimura5Department of Physics, Faculty of Science, Chulalongkorn UniversityCenter for Computational Sciences, University of TsukubaRIKEN Center for Computational ScienceInstitute for Theoretical Physics, Kanazawa UniversityInstitute for Theoretical Physics, Kanazawa UniversityCenter for Computational Sciences, University of TsukubaAbstract We make a detailed analysis of the spontaneous Z 2-symmetry breaking in the two dimensional real ϕ 4 theory with the tensor renormalization group approach, which allows us to take the thermodynamic limit easily and determine the physical observables without statistical uncertainties. We determine the critical coupling in the continuum limit employing the tensor network formulation for scalar field theories proposed in our previous paper. We obtain [λ/μ c 2 ]cont. = 10.913(56) with the quartic coupling λ and the renormalized critical mass μ c . The result is compared with previous results obtained by different approaches.http://link.springer.com/article/10.1007/JHEP05(2019)184Discrete SymmetriesField Theories in Lower DimensionsLattice Quantum Field Theory
spellingShingle Daisuke Kadoh
Yoshinobu Kuramashi
Yoshifumi Nakamura
Ryo Sakai
Shinji Takeda
Yusuke Yoshimura
Tensor network analysis of critical coupling in two dimensional ϕ 4 theory
Journal of High Energy Physics
Discrete Symmetries
Field Theories in Lower Dimensions
Lattice Quantum Field Theory
title Tensor network analysis of critical coupling in two dimensional ϕ 4 theory
title_full Tensor network analysis of critical coupling in two dimensional ϕ 4 theory
title_fullStr Tensor network analysis of critical coupling in two dimensional ϕ 4 theory
title_full_unstemmed Tensor network analysis of critical coupling in two dimensional ϕ 4 theory
title_short Tensor network analysis of critical coupling in two dimensional ϕ 4 theory
title_sort tensor network analysis of critical coupling in two dimensional ϕ 4 theory
topic Discrete Symmetries
Field Theories in Lower Dimensions
Lattice Quantum Field Theory
url http://link.springer.com/article/10.1007/JHEP05(2019)184
work_keys_str_mv AT daisukekadoh tensornetworkanalysisofcriticalcouplingintwodimensionalph4theory
AT yoshinobukuramashi tensornetworkanalysisofcriticalcouplingintwodimensionalph4theory
AT yoshifuminakamura tensornetworkanalysisofcriticalcouplingintwodimensionalph4theory
AT ryosakai tensornetworkanalysisofcriticalcouplingintwodimensionalph4theory
AT shinjitakeda tensornetworkanalysisofcriticalcouplingintwodimensionalph4theory
AT yusukeyoshimura tensornetworkanalysisofcriticalcouplingintwodimensionalph4theory