The $U_A(1)$ Problem on the Lattice

Details The $U_A(1)$ Problem on the Lattice The $U_A(1)$ Problem on the Lattice

2001-10-10

arxiv.org/abs/hep-lat/0110036v1

Nucl.Phys.Proc.Suppl. 106 (2002) 1001-1003

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, talk presented by G.C. Rossi at Lattice2001(theorydevelop)

Scientific paper

10.1016/S0920-5632(01)01910-7

If the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed, it is possible to prove on the lattice the validity of the Witten--Veneziano formula for the $\eta'$ mass. Recent numerical results from simulations with overlap fermions in 2 (abelian Schwinger model) and 4 (QCD) dimensions give values for the mass of the lightest pseudo-scalar flavour-singlet state that agree with theoretical expectations and/or experimental data.

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