3D scalar model as a 4D perfect conductor limit: Dimensional reduction and variational boundary conditions

@article{Edery20093DSM,
  title={3D scalar model as a 4D perfect conductor limit: Dimensional reduction and variational boundary conditions},
  author={Ariel Edery and Noah Graham and Ilana MacDonald},
  journal={Physical Review D},
  year={2009},
  volume={79},
  pages={125018}
}
Under dimensional reduction, a system in D spacetime dimensions will not necessarily yield its D ― I-dimensional analog version. Among other things, this result will depend on the boundary conditions and the dimension D of the system. We investigate this question for scalar and Abelian gauge fields under boundary conditions that obey the symmetries of the action. We apply our findings to the Casimir piston, an ideal system for detecting boundary effects. Our investigation is not limited to… 

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