4.4 Article

Tensor network analysis of critical coupling in two dimensional φ4 theory

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP05(2019)184

Keywords

Discrete Symmetries; Field Theories in Lower Dimensions; Lattice Quantum Field Theory

Funding

  1. CUniverse research promotion project of Chulalongkorn Univesity (Grant CUAASC)
  2. Ministry of Education, Culture, Sports, Science and Technology (MEXT) as Exploratory Challenge on Post-K computer (Frontiers of Basic Science: Challenging the Limits)
  3. JSPS KAKENHI [JP16K05328, JP17K05411, JP18J10663, JP19K03853]

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We make a detailed analysis of the spontaneous Z(2)-symmetry breaking in the two dimensional real phi(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 [2](cont.)=10.913(56) with the quartic coupling and the renormalized critical mass (c). The result is compared with previous results obtained by different approaches.

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