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.
New MC determination of the critical coupling in $\phi^4_2$ theory
2 Pith papers cite this work. Polarity classification is still indexing.
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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).
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.
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Certified spectral functions from lattice Monte Carlo data
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.
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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.