New MC determination of the critical coupling in φ⁴₂ theory
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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 3 Pith papers
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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.
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Testing Scalar Field Self-Dualities in d=2 using a Variational Method
Saddle-point self-duality methods agree quantitatively with variational results on free energy for 2D critical φ⁴ theory but deviate by about 25% on the peak location of the correlation length.
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