PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Vacuum Structure, Confinement, and Chiral Symmetry
Towards glueball masses of large-$N$ $\mathrm{SU}(N)$ Yang-Mills theories without topological freezing via parallel tempering on boundary conditions
C. Bonanno*, M. D'Elia, B. Lucini and D. Vadacchino
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Pre-published on: November 08, 2022
Published on: April 06, 2023
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 $\mathrm{topological}\,\,\mathrm{freezing}$. 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.
DOI: https://doi.org/10.22323/1.430.0392
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