2003
DOI: 10.1103/physrevd.68.064018
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Regularization of brane induced gravity

Abstract: We study the regularization of theories of ''brane induced'' gravity in codimension NϾ1. The brane can be interpreted as a thin dielectric with a large dielectric constant, embedded in a higher dimensional space. The kinetic term for the higher dimensional graviton is enhanced over the brane. A four dimensional gravitation is found on the brane at distances smaller than a critical distance rϽr c , and is due to the exchange of a massive resonant graviton. The crossover scale r c is determined by the mass of th… Show more

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Cited by 75 publications
(75 citation statements)
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References 17 publications
(28 reference statements)
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“…With a codimension greater than one the effects of a finite brane thickness can no longer be neglected ([8] - [12]), but the conclusions on the crossover scale or on the need for compactification remain the same. On the other hand one can also merge the setups of Randall-Sundrum and of DvaliGabadadze-Porrati [13].…”
Section: Introductionmentioning
confidence: 99%
“…With a codimension greater than one the effects of a finite brane thickness can no longer be neglected ([8] - [12]), but the conclusions on the crossover scale or on the need for compactification remain the same. On the other hand one can also merge the setups of Randall-Sundrum and of DvaliGabadadze-Porrati [13].…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, it agrees with completions such as deconstructed orbifolds. The less common works including orthogonal terms use fat branes [46] or treat the orthogonal brane terms perturbatively to first order [9], which is non-singular. The first possibility reduces to the renormalized effective theory at scales lower than the physical width of the branes.…”
Section: Discussionmentioning
confidence: 99%
“…In addition to this natural geometrical asymmetry, we allow the cap Planck scale, M C , to differ from that in the bulk, M B . If M C ≫ M B , this leads to an explicit realization of the regularization of brane-induced gravity [17]. The purpose of the present paper is to investigate in detail the behavior of weak gravity in such a braneworld.…”
Section: Introductionmentioning
confidence: 99%
“…(The divergence is the generic feature for N ≥ 2.) If one is to resolve this short distance singularity somehow, the regularization at UV will affect the behavior of gravity at IR [13,14,15,16,17,18]. (See also different approaches to construct higher codimension braneworlds with induced gravity [19,20].…”
Section: Introductionmentioning
confidence: 99%