Witten-Veneziano from Green-Schwarz
Adi Armoni (CERN)
TL;DR
This paper explores the U(1) problem in QCD using the AdS/CFT correspondence, linking the eta' mass to a Green-Schwarz mechanism and identifying the eta' as a closed string mode in a specific string theory setup.
Contribution
It establishes a novel connection between the Witten-Veneziano formula and the Green-Schwarz mechanism within the AdS/CFT framework, identifying the eta' meson as a twisted-sector R-R field.
Findings
The eta' meson is related to a closed string mode canceling anomaly.
The Witten-Veneziano formula is derived from a Green-Schwarz mechanism.
In a specific orbifold setup, eta' is a twisted-sector R-R field.
Abstract
We consider the U(1) problem within the AdS/CFT framework. We explain how the Witten-Veneziano formula for the eta' mass is related to a generalized Green-Schwarz mechanism. The closed string mode, that cancels the anomaly of the gauged U(1) axial symmetry, is identified with the eta' meson. In a particular set-up of D3-branes on a C3/(Z3xZ3) orbifold singularity, the eta' meson is a twisted-sector R-R field.
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