Improved lattice measurement of the critical coupling inϕ24theory

2009/01/31 by David Schaich, Will Loinaz · 6 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.1103/physrevd.79.056008

published as Phys.Rev.D79:056008,2009 · 14 pages, 5 figures

arxiv created 2009/01/31 · openalex publication_date 2009/03/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We use Monte Carlo simulations to obtain an improved lattice measurement of the critical coupling constant [\ensuremathλ/\ensuremathμ²]_crit for the continuum (1+1)-dimensional (\ensuremathλ/4)\ensuremathφ⁴ theory. We find that the critical coupling constant depends logarithmically on the lattice coupling, resulting in a continuum value of [\ensuremathλ/\ensuremathμ²]_crit=10.8_\ensuremath-0.05^+0.10, in considerable disagreement with the previously reported [\ensuremathλ/\ensuremathμ²]_crit=10.26_\ensuremath-0.04^+0.08. Although this logarithmic behavior was not observed in earlier lattice studies, it is consistent with them, and expected analytically.

Cited by

• Monte Carlo determination of the critical coupling inϕ24theory
• Scaling Hypothesis for Matrix Product States
• Tensor network study of two dimensional lattice ϕ⁴ theory
• Light-Front \varvecφ ⁴₁₊₁ ϕ 1 + 1 4 Theory Using a Many-Boson Symmetric-Polynomial Basis
• Tensor network analysis of critical coupling in two dimensional ϕ4 theory
• High-precision calculations in strongly coupled quantum field theory with next-to-leading-order renormalized Hamiltonian Truncation

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