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arXiv · 2210.07622

Towards glueball masses of large-$N~\mathrm{SU}(N)$ Yang-Mills theories without topological freezing via parallel tempering on boundary conditions

Claudio Bonanno·Massimo D'Elia·Biagio Lucini·Davide Vadacchino
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Abstract

Standard local updating algorithms experience a critical slowing down close to the continuum limit, which is particularly severe for topological observables. In practice, the Markov chain tends to remain trapped in a fixed topological sector. This problem further worsens at large $N$, and is known as $\mathit{topological}~\mathit{freezing}$. To mitigate it, we adopt the parallel tempering on boundary conditions proposed by M. Hasenbusch. This algorithm allows to obtain a reduction of the auto-correlation time of the topological charge up to several orders of magnitude. With this strategy we are able to provide the first computation of low-lying glueball masses at large $N$ free of any systematics related to topological freezing.

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Claudio Bonanno, Massimo D'Elia, Biagio Lucini, Davide Vadacchino. 2022-10-14. Towards glueball masses of large-$N~\mathrm{SU}(N)$ Yang-Mills theories without topological freezing via parallel tempering on boundary conditions. https://arxiv.org/abs/2210.07622

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