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Tensor network analysis of critical coupling in two dimensional $\phi^{4}$ theory

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arxiv 1811.12376 v1 pith:NTZIXVUL submitted 2018-11-29 hep-lat

Daisuke Kadoh , Yoshinobu Kuramashi , Yoshifumi Nakamura , Ryo Sakai , Shinji Takeda , Yusuke Yoshimura This is my paper · ORCID
classification hep-lat
keywords couplingcriticalmathrmtensoranalysisdeterminedimensionallambda
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abstract

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 $\left[ \lambda / \mu_{\mathrm{c}}^{2} \right]_{\mathrm{cont.}} = 10.913(56)$ with the quartic coupling $\lambda$ and the renormalized critical mass $\mu_{\mathrm{c}}$. The result is compared with previous results obtained by different approaches.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Systematic Improvement of Hamiltonian Truncation Effective Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    NLO matching corrections with nonlocal terms are computed for 1+1D λφ⁴ Hamiltonian truncation, and the eigenvalue error is shown to scale as 1/Emax⁴, confirming the effective theory power counting.

  2. A relativistic continuous matrix product state study of field theories with defects

    hep-th 2025-01 conditional novelty 6.0 of 10

    Expectation values of local operators in phi^4 theory with a magnetic line defect are computed non-perturbatively using relativistic continuous matrix product states, by rotating Euclidean time so the defect becomes a...

  3. Multi-particle states investigation with tensor renormalization group method

    hep-lat 2026-06 unverdicted novelty 5.0 of 10

    A TRG-based spectroscopy scheme identifies multi-particle states in the 1+1d Ising model and extracts consistent two-particle scattering phase shifts via Lüscher's formula.

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