Springer, Felix, Schaich, David 
ORCID: 0000-0002-9826-2951 and Rinaldi, Enrico
(2023)
First-order bulk transitions in large-$N$ lattice Yang--Mills theories
using the density of states.
[Preprint]
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Abstract
We use the Logarithmic Linear Relaxation (LLR) density of states algorithm to study the bulk phase transitions of pure-gauge SU($N$) lattice Yang--Mills theories with $4 \leq N \leq 8$. This approach avoids super-critical slowing down at such transitions, which poses a problem for traditional importance sampling Monte-Carlo methods. We analyse the effect of different updating strategies within the LLR algorithm, different reconstruction techniques of the density of states and different lattice volumes. By comparing our results for the weakly first-order SU(5) bulk phase transition against those for the stronger transitions with $N \geq 6$, we demonstrate the advantages of the LLR method for analyses of strong transitions with large latent heat.
| Item Type: | Preprint |
|---|---|
| Uncontrolled Keywords: | hep-lat, hep-lat |
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 19 Dec 2023 14:31 |
| Last Modified: | 15 Mar 2024 15:49 |
| DOI: | 10.48550/arxiv.2311.10243 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3177523 |
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