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...
Main Authors: | , , , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2019-05-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)184 |
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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 |
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