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

We make a detailed analysis of the spontaneous Z2-symmetry breaking in the two dimensional real ϕ4 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...

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Published inThe journal of high energy physics Vol. 2019; no. 5; pp. 1 - 22
Main Authors Kadoh, Daisuke, Kuramashi, Yoshinobu, Nakamura, Yoshifumi, Sakai, Ryo, Takeda, Shinji, Yoshimura, Yusuke
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.05.2019
SpringerOpen
Subjects
Broken symmetry
Coupling
Critical mass
Discrete Symmetries
Field Theories in Lower Dimensions
High energy physics
Lattice Quantum Field Theory
Mathematical analysis
Network analysis
Tensors
Two dimensional analysis
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Summary:We make a detailed analysis of the spontaneous Z2-symmetry breaking in the two dimensional real ϕ4 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/μc2]cont. = 10.913(56) with the quartic coupling λ and the renormalized critical mass μc. The result is compared with previous results obtained by different approaches.
ISSN:1029-8479
DOI:10.1007/JHEP05(2019)184