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Abstract

We study the θ-dependence of the string tension and of the lightest glueball mass in four-dimensional SU(N) Yang-Mills theories. More precisely, we focus on the coefficients parametrizing the Oθ2 dependence of these quantities, which we investigate by means of numerical simulations of the lattice-discretized theory, carried out using imaginary values of the θ parameter. Topological freezing at large N is avoided using the Parallel Tempering on Boundary Conditions algorithm. We provide controlled continuum extrapolations of such coefficients in the N = 3 case, and we report the results obtained on two fairly fine lattice spacings for N = 6.

Publication Date

2024-05-14

Publication Title

Journal of High Energy Physics

Volume

2024

Issue

5

Acceptance Date

2024-04-24

Deposit Date

2026-07-30

Funding

The work of C. Bonanno is supported by the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severe Ochoa CEX2020-001007-S and, partially, by grant PID2021-127526NB-I00, both funded by MCIN/AEI/10.13039/501100011033. C. Bonanno also acknowledges support from the project H2020-MSCAITN-2018-813942 (EuroPLEx) and the EU Horizon 2020 research and innovation programme, STRONG-2020 project, under grant agreement No 824093. The work of D. Vadacchino is supported by STFC under Consolidated Grant No. ST/X000680/1. Numerical calculations have been performed on the Galileo100 machine at Cineca, based on the project IscrB_ITDGBM, on the Marconi machine at Cineca based on the agreement between INFN and Cineca (under project INF22_npqcd), and on the Plymouth University cluster.

Keywords

1/N Expansion, Lattice Quantum Field Theory, Vacuum Structure and Confinement

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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