Neutron Electric Dipole Moment on the Lattice: a Theoretical Reappraisal

Details Neutron Electric Dipole Moment on the Lattice: a Theoretical Reappraisal Neutron Electric Dipole Moment on the Lattice: a Theoretical Reappraisal

2002-10-24

arxiv.org/abs/hep-lat/0210044v2

JHEP 0304 (2003) 019

Physics

High Energy Physics

High Energy Physics - Lattice

revised version; new diagrammatic analysis extended to the case of non-degenerate quark masses

Scientific paper

10.1088/1126-6708/2003/04/019

We present a strategy for a lattice evaluation of the neutron electric dipole moment induced by the strong CP violating term of the QCD Lagrangian. Our strategy is based on the standard definition of the electric dipole moment, involving the charge density operator J0, in case of three flavors with non-degenerate masses. We present a complete diagrammatic analysis showing how the axial chiral Ward identities can be used to replace the opological charge operator with the flavor-singlet pseudoscalar density PS. Our final result is characterized only by disconnected diagrams, where the disconnected part can be either the single insertion of PS or the separate insertions of both PS and J0. The applicability of our strategy to the case of lattice formulations that explicitly break chiral symmetry, like the Wilson and Clover actions, is discussed.

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