Breaking CPT by mixed non-commutativity
arXiv:hep-ph/0108136 · doi:10.1103/PhysRevD.65.107702
Abstract
The mixed component of the non-commutative parameter θ_{μM}, where μ= 0,1,2,3 and M is an extra dimensional index may violate four-dimensional CPT invariance. We calculate one and two-loop induced couplings of θ_{μ5} with the four-dimensional axial vector current and with the CPT odd dim=6 operators starting from five-dimensional Yukawa and U(1) theories. The resulting bounds from clock comparison experiments place a stringent constraint on θ_{μ5}, |θ_{μ5}|^{-1/2} > 5\times 10^{11} GeV. The orbifold projection and/or localization of fermions on a 3-brane lead to CPT-conserving physics, in which case the constraints on θ{μ5} are softened.
4 pages, latex, 1 figure
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