Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-09-26
PoS LAT2005 (2005) 128
Physics
High Energy Physics
High Energy Physics - Lattice
6 pages, 7 eps-figures, talk presented at Lattice 2005 (Chiral fermions), Trinity College, Dublin, Ireland, 25-30 Jul 2005
Scientific paper
We carry out a feasibility study toward a lattice QCD calculation of the neutron electric dipole moment (NEDM) in the presence of the $\theta$ term using two different approaches. In the first method, we calculate the CP-odd electromagnetic form factor $F_3$, which becomes the NEDM in the zero momentum transfer limit. At the first order in $\theta$, we derive a formula connecting the lattice three-point function to the CP-odd electromagnetic form factor. In the second method we directly extract the NEDM from the energy difference between spin-up and spin-down neutron states in the presence of a constant electric field, without expanding a small but non-zero $\theta$. We test both approaches numerically, employing the domain-wall quark action with the RG improved gauge action in quenched QCD at $a^{-1}\simeq 2$ GeV on a $16^3\times 32\times 16$ lattice, and further applying the second method to the clover quark action at a similar lattice spacing and nucleon mass. We obtain good signals from both approaches. In particular the second method works well with both fermion formulations.
Aoki Sadao
Ishizuka Naruhito
Kanaya Kazuyuki
Kikukawa Yoshio
Kuramashi Yoshinobu
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