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arXiv · 0707.1885

Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing

Robert C. Helling·Jiangyang You
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Abstract

We compute the static potential in a non-commutative theory including a term due to UV/IR-mixing. As a result, the potential decays exponentially fast with distance rather than like a power law Coulomb type potential due to the exchange of massless particles. This shows that when quantum effects are taken into account the introduction of non-commutativity not only modifies physics at short 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) to be compatible with observations.

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Robert C. Helling, Jiangyang You. 2008-02-08. Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing. https://doi.org/10.1088/1126-6708%2F2008%2F06%2F067

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