Noncommutativity of Space and Rotation of Polarization of Light in a Background Magnetic Field

Recently the PVLAS collaboration has reported the observation of rotation of polarization of light propagating in a background magnetic field. In this letter we explore the possibility that such a rotation is a result of noncommutativity in the background space-time. To explain the reported polarization rotation within noncommutative QED we need the noncommutativity parameter $\theta\simeq (30 {\rm GeV})^{-2}$.