Coulomb's law corrections from a gauge-kinetic mixing

Abstract

We study the static quantum potential for a gauge theory which includes the mixing between the familiar photon $U(1{)}_{QED}$ and a second massive gauge field living in the so-called hidden-sector $U(1{)}_h$. Our discussion is carried out using the gauge-invariant but path-dependent variables formalism, which is alternative to the Wilson loop approach. Our results show that the static potential is a Yukawa correction to the usual static Coulomb potential. Interestingly, when this calculation is done inside a superconducting box, the Coulombic piece disappears leading to a screening phase.

4 pages

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Cited by in corpus (1)

• Spin- and velocity-dependent non-relativistic potentials in modified electrodynamics