Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly

Details Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly

1998-06-13

arxiv.org/abs/hep-lat/9806013v2

Phys.Lett. B448 (1999) 265-274

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, LaTeX2e, several typo fixed and a paragraph concering the weak coupling expansion added

Scientific paper

10.1016/S0370-2693(99)00021-0

We discuss the weak coupling expansion of massless QCD with the Dirac operator which is derived by Neuberger based on the overlap formalism and satisfies the Ginsparg-Wilson relation. The axial U(1) anomaly associated to the chiral transformation proposed by Luscher is calculated as an application and is shown to have the correct form of the topological charge density for perturbative backgrounds. The coefficient of the anomaly is evaluated as a winding number related to a certain five-dimensional fermion propagator.

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