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arxiv: 0705.2352 · v1 · submitted 2007-05-16 · ✦ hep-th · hep-lat

Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice

Leonardo Giusti , Silvano Petrarca , Bruno Taglienti This is my paper
classification ✦ hep-th hep-lat
keywords chargedistributionenergylatticetheorythetatopologicalvacuum
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We report on a precise computation of the topological charge distribution in the SU(3) Yang--Mills theory. It is carried out on the lattice with high statistics Monte Carlo simulations by employing the definition of the topological charge suggested by Neuberger's fermions. We observe significant deviations from a Gaussian distribution. Our results disfavour the theta behaviour of the vacuum energy predicted by instanton models, while they are compatible with the expectation from the large Nc expansion.

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  1. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

    hep-lat 2025-10 unverdicted novelty 6.0

    Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.