Casimir Energies due to Matter Fields in $T^{2}$ and $T^{2}/Z_{2}$ Compactifications

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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17 pages, no figure, title modified, to appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(03)00537-6

We calculate the Casimir energies due to matter fields with various boundary conditions along two compact directions in $T^{2}$ compactification. We discuss whether the Casimir energies generate attractive or repulsive forces. On the theories with extra dimensions, the Casimir energy plays a crucial role in the mechanism for stabilizing the size of extra dimensions. Finally we argue a procedure of the application to $Z_{2}$ orbifold.

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