Tensor network analysis of critical coupling in two dimensional ϕ4 theory

2018/11/29 by Daisuke Kadoh, Yoshinobu Kuramashi, Y. Kuramashi +4
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling (piping) #Critical phenomena #Geometry #Lambda #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Observable #Phase transition #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum gravity #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Scalar (mathematics) #Scalar field #Scalar field theory #Scalar–tensor theory #Tensor (intrinsic definition) #hep-lat

paper · pdf · doi:10.1007/jhep05(2019)184

21 pages, 11 figures

arxiv created 2018/11/29 · openalex publication_date 2019/05/01 · arxiv updated 2019/06/26 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/06

Abstract

A bstract 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.

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