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We investigate the spontaneous symmetry breaking in a nonlocal version of thescalar QED. When the mass parameter $m^2$ satisfies the requirement $m^2>0$, wefind that all fields, including the Nambu-Goldstone field, acquire a non-zeromass dependent on the nonlocal scales. On the other hand, when $m^2=0$, we findthat the nonlocal corrections to the masses are very small and can beneglected.

Spontaneous Symmetry Breaking in the Nonlocal Scalar QED