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We compute the static potential in a non-commutative theory including a termdue to UV/IR-mixing. As a result, the potential decays exponentially fast withdistance rather than like a power law Coulomb type potential due to theexchange of massless particles. This shows that when quantum effects are takeninto account the introduction of non-commutativity not only modifies physics atshort distances but has dramatic macroscopic consequences as well. As a result,we give a lower bound on the scale of non-commutativity (if present at all) tobe compatible with observations.

Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing