Fat Branes in Infinite-Volume Extra Space

Physics

Scientific paper

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Scientific paper

We study branes residing in infinite volume space and of finite extent in the transverse directions. We calculate the graviton propagator in the harmonic gauge both inside and outside the brane and discuss its dependence on the thickness of the brane. Our treatment includes the full tensor structure of the propagator. In five dimensions, we show that the van Dam-Veltman-Zakharov(vDVZ) discontinuity can be avoided by an appropriate choice of gauge. This new gauge is written explicitly in terms of the metric field without evoking the field equations. It has a singular limit as the transverse size of the brane shrinks to zero, so no such simple representation is possible in that limit.

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