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The Glauber dynamics of the Hopfield model at low storage level isconsidered. We analytically derive the spectrum of relaxation times for largesystem sizes. The longest time scales are gathered in families, each familybeing in one to one correspondence with a stationary (not necessarily stable)point of the static mean-field free-energy. Inside a family, the time scalesare given by the reciprocals (of the absolute values) of the eigenvalues of thefree-energy Hessian matrix.Comment: 5 pages RevTex file, accepted for publication in J.Phys.

Relationship between long timescales and the static free-energy in the Hopfield model