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Glueball masses from an infrared moment problem.
D Dudal1, M S Guimaraes, S P Sorella
1Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium. david.dudal@ugent.be
Physical Review Letters
|March 17, 2011
Summary
This study estimates scalar, pseudoscalar, and tensor glueball masses in Euclidean Yang-Mills theories using the refined Gribov-Zwanziger approach. Results align with lattice data, revealing a specific mass hierarchy for these fundamental particles.
Area of Science:
- High-energy physics
- Quantum chromodynamics
- Theoretical physics
Background:
- Understanding the spectrum of quantum chromodynamics (QCD) is crucial for particle physics.
- Glueballs, bound states of gluons, are predicted by QCD but experimentally challenging to identify.
- Nonperturbative methods are essential for studying low-energy QCD phenomena like glueball masses.
Purpose of the Study:
- To estimate the masses of scalar (0++), pseudoscalar (0-+), and tensor (2++) glueballs.
- To utilize the refined Gribov-Zwanziger (RGZ) formalism within the Landau gauge.
- To compare theoretical predictions with lattice QCD input and experimental data.
Main Methods:
- An infrared-based moment problem was formulated.
- The refined Gribov-Zwanziger (RGZ) version of the Landau gauge was employed, incorporating nonperturbative effects.
- Lattice input for the gluon propagator mass scales was utilized.
Main Results:
- Estimated glueball masses: m(0++) ≈ 1.96 GeV, m(2++) ≈ 2.04 GeV, and m(0-+) ≈ 2.19 GeV for SU(3).
- Results are within a 20% accuracy compared to lattice QCD values.
- The mass hierarchy m(0++) < m(2++) < m(0-+) was successfully recovered.
Conclusions:
- The RGZ approach provides reliable estimates for glueball masses.
- The recovered mass hierarchy is consistent with theoretical expectations and lattice data.
- This method offers a viable pathway for further investigations into the QCD spectrum.
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