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We investigate the persistence probability in the Voter model for dimensionsd\geq 2. This is achieved by mapping the Voter model onto a continuumreaction-diffusion system. Using path integral methods, we compute thepersistence probability r(q,t), where q is the number of ``opinions'' in theoriginal Voter model. We find r(q,t)\sim exp[-f_2(q)(ln t)^2] in d=2;r(q,t)\sim exp[-f_d(q)t^{(d-2)/2}] for 2<d<4; r(q,t)\sim exp[-f_4(q)t/ln t] ind=4; and r(q,t)\sim exp[-f_d(q)t] for d>4. The results of our analysis arechecked by Monte Carlo simulations.Comment: 10 pages, 3 figures, Latex, submitted to J. Phys. A (letters

Persistence in the Voter model: continuum reaction-diffusion approach