Probing Noncommutative Space-Time in the Laboratory Frame

Abstract

The phenomenological investigation of noncommutative space-time in the laboratory frame are presented. We formulate the apparent time variation of noncommutativity parameter ${\theta }_{\mu \nu }$ in the laboratory frame due to the earth's rotation. Furthermore, in the noncommutative QED, we discuss how to probe the electric-like component $\overrightarrow{{\theta }_E}=({\theta }_{01},{\theta }_{02},{\theta }_{03})$ by the process $e^{-}{e}^{+}\to \gamma \gamma$ at future $e^{-}{e}^{+}$ linear collider. We may determine the magnitude and the direction of $\overrightarrow{{\theta }_E}$ by detailed study of the apparent time variation of total cross section. In case of us observing no signal, the upper limit on the magnitude of $\overrightarrow{{\theta }_E^{}}$ can be determined independently of its direction.

12 pages, 7 figures, typos are corrected, one graph have been added in figure 5

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