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We present a study of the neutron electric dipole moment ($\vec d_N$) withinthe framework of lattice QCD with two flavors of dynamical lig ht quarks. Thedipole moment is sensitive to the topological structure of the gaug e fields,and accuracy can only be achieved by using dynamical, or sea quark, calculations. However, the topological charge evolves slowly in these calculations,le ading to a relatively large uncertainty in $\vec d_N$. It is shown, usingquenched configurations, that a better sampling of the charge d istributionreduces this problem, but because the CP even part of the fermion determinantis absent, both the topological charge dis tribution and $\vec d_N$ arepathological in the chiral limit. We discuss the statistical and systematicuncertainties arising from the topological charge distr ibution and unphysicalsize of the quark mass in our calculations and prospects fo r eliminating them.  Our calculations employ the RBC collaboration two flavor domain wall fermionand DBW2 gauge action lattices with inverse lattice spacing $a^{-1}\approx$ 1.7GeV, physical volume $V\approx (2$ fm)$^3$, and light quark mass roughly equalto the strange quark mass ($m_{sea}=0.03 $ and 0.04). We determine a value ofthe electric dipole moment that is zero withi n (statistical) errors, $|\vecd_N| = -0.04(20)$ e-$\theta$-fm at the smaller sea quark mass. Satisfactoryresults for the magnetic and electric form factors of the proton and neutronare also obtained and presented.Comment: 46 pages. Changed one author addres

Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions