TY - JOUR
T1 - Strong interactions and stability in the DGP model
AU - Luty, Markus A.
AU - Porrati, Massimo
AU - Rattazzi, Riccardo
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2003/9/1
Y1 - 2003/9/1
N2 - The model of Dvali, Gabadadze, and Porrati (DGP) gives a simple geometrical setup in which gravity becomes 5-dimensional at distances larger than a length scale λDGP. We show that this theory has strong interactions at a length scale λ3 ∼ (λDGP2/Mp) 1/3. If λDGP is of order the Hubble length, then the theory loses predictivity at distances shorter than λ3 ∼ 1000 km. The strong interaction can be viewed as arising from a longitudinal 'eaten Goldstone' mode that gets a small kinetic term only from mixing with transverse graviton polarizations, analogous to the case of massive gravity. We also present a negative-energy classical solution, which can be avoided by cutting off the theory at the same scale scale λ3. Finally, we examine the dynamics of the longitudinal Goldstone mode when the background geometry is curved.
AB - The model of Dvali, Gabadadze, and Porrati (DGP) gives a simple geometrical setup in which gravity becomes 5-dimensional at distances larger than a length scale λDGP. We show that this theory has strong interactions at a length scale λ3 ∼ (λDGP2/Mp) 1/3. If λDGP is of order the Hubble length, then the theory loses predictivity at distances shorter than λ3 ∼ 1000 km. The strong interaction can be viewed as arising from a longitudinal 'eaten Goldstone' mode that gets a small kinetic term only from mixing with transverse graviton polarizations, analogous to the case of massive gravity. We also present a negative-energy classical solution, which can be avoided by cutting off the theory at the same scale scale λ3. Finally, we examine the dynamics of the longitudinal Goldstone mode when the background geometry is curved.
KW - Brane Dynamics in Gauge Theories
KW - Extra Large Dimensions
KW - Field Theories in Higher Dimensions
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U2 - 10.1088/1126-6708/2003/09/029
DO - 10.1088/1126-6708/2003/09/029
M3 - Article
AN - SCOPUS:23144440756
VL - 7
SP - 649
EP - 671
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 9
ER -