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.
Monte Carlo Simulation Calculation of Critical Coupling Constant for Continuum \phi^4_2
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abstract
We perform a Monte Carlo simulation calculation of the critical coupling constant for the continuum {\lambda \over 4} \phi^4_2 theory. The critical coupling constant we obtain is [{\lambda \over \mu^2}]_crit=10.24(3).
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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.