ORCID
- Davide Vadacchino: 0000-0002-5783-5602
Abstract
In commonly used Monte Carlo algorithms for lattice gauge theories the integrated autocorrelation time of the topological charge is known to be exponentially-growing as the continuum limit is approached. This topological freezing, whose severity increases with the size of the gauge group, can result in potentially large systematics. To provide a direct quantification of the latter, we focus on Yang–Mills theory at a lattice spacing for which conventional methods associated to the decorrelation of the topological charge have an unbearable computational cost. We adopt the recently proposed parallel tempering on boundary conditions algorithm, which has been shown to remove systematic effects related to topological freezing, and compute glueball masses with a typical accuracy of . We observe no sizeable systematic effect in the mass of the first lowest-lying glueball states, with respect to calculations performed at nearly-frozen topological sector.
DOI Link
Publication Date
2022-10-10
Publication Title
Physics Letters B
Volume
833
ISSN
0370-2693
Acceptance Date
2022-06-28
Deposit Date
2026-07-28
Funding
The authors thank A. Athenodorou and T. DeGrand for useful discussions. C.B. acknowledges the support of the Italian Ministry of Education, University and Research under the project PRIN 2017E44HRF, “Low dimensional quantum systems: theory, experiments and simulations”. The work of B.L. has been supported in part by the STFC Consolidated Grants No. ST/P00055X/1 and No. ST/T000813/1. B.L. received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program under Grant Agreement No. 813942. The work of B.L. is further supported in part by the Royal Society WolfsonResearch Merit Award No. WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. The work of D.V. is partly supported by the Simons Foundation under the program “Targeted Grants to Institutes” awarded to the Hamilton Mathematics Institute. Numerical simulations have been performed on the MARCONI machine at CINECA, based on the agreement between INFN and CINECA, under project INF21_npqcd. Numerical analyses have been performed on the Swansea University SUNBIRD (part of the Supercomputing Wales project) and AccelerateAI A100 GPU system, which are part funded by the European Regional Development Fund (ERDF) via Welsh Government.
Keywords
Glueball masses, Large-N, Topological freezing
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Bonanno, C., D'Elia, M., Lucini, B., & Vadacchino, D. (2022) 'Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing', Physics Letters B, 833. Available at: 10.1016/j.physletb.2022.137281
