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

DOI10.1007/JHEP05(2019)184zbMath1416.81121arXiv1811.12376MaRDI QIDQ2315782

Yoshinobu Kuramashi, Yusuke Yoshimura, Daisuke Kadoh, Shinji Takeda, Yoshifumi Nakamura, Ryo Sakai

Publication date: 25 July 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12376

zbMATH Keywords

thermodynamic limitdiscrete symmetriesfield theories in lower dimensionslattice quantum field theory

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Symmetry breaking in quantum theory (81R40) Renormalization group methods applied to problems in quantum field theory (81T17) Classical and relativistic thermodynamics (80A10)

Related Items (9)

Nonperturbative matching between equal-time and lightcone quantization ⋮ Investigation of complex \(\varphi^4\) theory at finite density in two dimensions using TRG ⋮ Quantum phase transitions in a bidimensional \(O(N)\times\mathbb{Z}_2\) scalar field model ⋮ Tensor renormalization group approach to four-dimensional complex \(\varphi^4\) theory at finite density ⋮ Self-dualities and renormalization dependence of the phase diagram in 3d \(O(N)\) vector models ⋮ \(\lambda {\phi}^4\) theory. II: The broken phase beyond NNNN(NNNN)LO ⋮ Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a \(\theta\) term ⋮ Tensor renormalization group and the volume independence in 2D \(\mathrm{U}(N)\) and \(\mathrm{SU}(N)\) gauge theories ⋮ Triad second renormalization group

Cites Work

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• \(\lambda\theta^4\) theory.I: The symmetric phase beyond NNNNNNNNLO
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• There are no Goldstone bosons in two dimensions
• Entropy and Exact Matrix-Product Representation of the Laughlin Wave Function
• Strong-coupling-expansion analysis of the false-vacuum decay rate of the lattice ϕ⁴model in 1 + 1 dimensions
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• A non-perturbative analysis of symmetry breaking in two-dimensional \(\phi^4\) theory using periodic field methods
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