Topological susceptibility in SU(3) gauge theory

Area of Science:

• Quantum Chromodynamics
• High Energy Physics
• Theoretical Physics

Background:

• The topological susceptibility is a crucial quantity in SU(3) Yang-Mills theory.
• Understanding this susceptibility aids in explaining particle masses, particularly the eta prime meson.
• Neuberger's fermions provide a novel approach to calculating topological properties.

Purpose of the Study:

• To compute the topological susceptibility for SU(3) Yang-Mills theory.
• To investigate the implications of the topological charge density operator suggested by Neuberger's fermions.
• To test the Witten-Veneziano explanation for the eta prime meson mass.

Main Methods:

• Employing the topological charge density operator expression from Neuberger's fermions.
• Performing calculations in the SU(3) Yang-Mills theory framework.
• Extrapolating results to the continuum limit.

Main Results:

• The topological susceptibility was computed in the continuum limit.
• A value of r(4)(0)chi = 0.059(3) was obtained.
• This corresponds to chi = (191 +/- 5 MeV)(4) when using F(K) for scale setting.

Conclusions:

• The computed topological susceptibility supports the Witten-Veneziano explanation.
• The results provide evidence for the mechanism behind the large mass of the eta prime meson.
• This study validates the use of Neuberger's fermions for topological susceptibility calculations.