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New MC determination of the critical coupling in $\phi^4_2$ theory

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arxiv 1807.03381 v3 pith:ILRS2KFX submitted 2018-07-09 hep-lat

Simone Bronzin , Barbara De Palma , Marco Guagnelli This is my paper · ORCID
classification hep-lat
keywords couplingtheorycarlocontinuumcriticaldeterminationdeterminedimensions
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abstract

We investigate the non-perturbative features of $\phi^4_2$ theory in two dimensions, using Monte Carlo lattice methods. In particular we determine the ratio $f_0 \equiv g/\mu^2$, where g is the unrenormalised coupling, in the infinite volume and continuum limit. Our final result is $f_0$ = 11.055(14).

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Cited by 2 Pith papers

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

  1. Certified spectral functions from lattice Monte Carlo data

    hep-lat 2026-06 unverdicted novelty 7.0 of 10

    A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.

  2. 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.

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