Monte Carlo determination of the critical coupling inϕ24theory

2015/06/30 by Paolo Bosetti, Barbara De Palma, Marco Guagnelli · 4 citations
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Mathematics #Monte Carlo method #Quantum many-body systems #Statistics #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1103/physrevd.92.034509

published as Phys. Rev. D 92, 034509 (2015) · Version published on Phys. Rev. D. We added a reference and modified a couple of sentences

openalex publication_date 2015/08/20 · arxiv created 2015/08/24 · arxiv updated 2015/08/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We use lattice formulation of \ensuremathφ⁴ theory in order to investigate nonperturbative features of its continuum limit in two dimensions. In particular, by means of Monte Carlo calculations, we obtain the critical coupling constant g/\ensuremathμ² in the continuum, where g is the unrenormalized coupling. Our final result is g/\ensuremathμ²=11.15\ifmmode±\else\textpm\fi0.06_stat\ifmmode±\else\textpm\fi0.03_syst.

Citations

• Density matrix renormalization group in a two-dimensional 4Hamiltonian lattice model
• Improved lattice measurement of the critical coupling inϕ24theory

Cited by

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• Scaling Hypothesis for Matrix Product States
• 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