[Paper Review] Towards String Breaking In The Static Quark Potential

Frédéric Bonnet, Derek B. Leinweber+2 more|arXiv (Cornell University)|Dec 22, 1999

Particle physics theoretical and experimental studies3 citations

TL;DR

This paper presents improved lattice QCD techniques to isolate the ground state of the static quark potential at large quark-antiquark separations. Using both unimproved and improved gluon actions on 16³×32 lattices with ~0.18 fm spacing, it demonstrates that the improved action enhances rotational symmetry and signal-to-noise ratio, enabling a 25% extension in spatial separation and facilitating a new method for ground state potential isolation.

ABSTRACT

Techniques for revealing the ground state of the static quark potential at large separations are presented and evaluated. The static quark potential is calculated on both unimproved and improved lattice gauge field configurations. Both lattices are 16^3 x 32 and have approximately the same lattice spacing (approximately 0.18 fm). We show that using an improved gluon action not only gives better rotational symmetry, but also leads to an improvement in the signal to noise ratio in the static quark potential at large q q-bar separations. This data, extending spatial separations by 25%, facilitates the development of a new method for evaluating the extent to which the ground state potential is isolated.

Motivation & Objective

• To develop techniques for isolating the ground state of the static quark potential at large quark-antiquark separations.
• To evaluate the impact of improved gluon actions on rotational symmetry and signal-to-noise ratio in lattice QCD calculations.
• To extend the range of spatial separations in the static quark potential beyond previous limits by 25%.
• To enable a new method for assessing the extent of ground state potential isolation using improved data quality.

Proposed method

• Calculating the static quark potential on unimproved and improved lattice gauge field configurations with identical lattice spacing (~0.18 fm).
• Using 16³×32 spatial-temporal lattice volumes to ensure sufficient resolution and separation range.
• Employing improved gluon actions to reduce lattice artifacts and enhance rotational symmetry in the potential at large separations.
• Analyzing the signal-to-noise ratio improvement in the potential at large distances due to the improved action.
• Extending the spatial quark-antiquark separation range by 25% compared to previous studies using unimproved actions.
• Developing a new method for assessing ground state isolation based on the enhanced data quality from improved actions.

Experimental results

Research questions

• RQ1 To what extent does using an improved gluon action improve rotational symmetry in the static quark potential at large separations?
• RQ2 How does the signal-to-noise ratio of the static quark potential change with improved gluon actions at large quark-antiquark separations?
• RQ3 Can the range of spatial separations in the static quark potential be extended by 25% using improved lattice actions?
• RQ4 What is the impact of improved actions on the isolation of the ground state potential in lattice QCD simulations?
• RQ5 Can a new method for evaluating ground state isolation be developed based on the extended and improved data?

Key findings

• The use of an improved gluon action leads to significantly better rotational symmetry in the static quark potential at large separations.
• The signal-to-noise ratio of the static quark potential is improved at large quark-antiquark separations when using the improved gluon action.
• The spatial separation range in the static quark potential is extended by 25% compared to unimproved configurations.
• The improved data quality enables the development of a new method for assessing the extent of ground state potential isolation.
• The improved action facilitates more reliable extraction of the ground state potential at large distances, crucial for studying string breaking.