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.
Tensor network analysis of critical coupling in two dimensional $\phi^{4}$ theory
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
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.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Saddle-point self-duality methods agree with variational results on free energy in 2D critical scalar theory but differ by about 25% on the correlation length peak location.
citing papers explorer
-
Multi-particle states investigation with tensor renormalization group method
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.
-
Testing Scalar Field Self-Dualities in d=2 using a Variational Method
Saddle-point self-duality methods agree with variational results on free energy in 2D critical scalar theory but differ by about 25% on the correlation length peak location.