Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-04
JHEP 0808:039,2008
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, no figure
Scientific paper
10.1088/1126-6708/2008/08/039
The one-loop effective action for a $p$ brane embedded in a $D=p+2$ Minkowski spacetime in the static gauge is calculated. Rescaling the quantum fluctuation by $\sqrt{-g_0}$ evaluated on the background brane leads to the one-loop effective action expressed only in terms of infrared and ultraviolet divergent geometric scalars. After the infrared divergences are absorbed into the quantum fluctuation, there remains the finite number of ultraviolet divergences. This implies that the $D=p+2$ Poincar\'{e} symmetry and the $D=p+1$ general coordinate invariance are preserved in one-loop order.
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