Curvature as a remedy or Discretizing gravity in warped dimensions
نویسندگان
چکیده
The attempt to discretize gravity in flat space is foiled by the appearance of strongly interacting long wave-length longitudinal modes. In this paper we show how the introduction of sites with different scales, or equivalently curvature in the bulk, ameliorate all the problems encountered in flat space associated with long wave-length modes. However, as one could expect, all such problem resurface once the mode’s wave-length is smaller than the bulk curvature.
منابع مشابه
Discretized Gravity on the Hyperbolic Disk
We consider discretized gravity in six dimensions, where the two extra dimensions have been compactified on a hyperbolic disk of constant curvature. We analyze a fine-grained realization of lattice gravity on the hyperbolic disk at the level of an effective field theory for massive gravitons. It is shown that a nonzero curvature or warping in radial direction allows to obtain a strong coupling ...
متن کاملGravity effects in inclined air showers induced by cosmic neutrinos
The Randall-Sundrum model with a small curvature is considered in which five-dimensional Planck scale lies in the TeV region, and a spectrum of Kaluza-Klein gravitons reminds that in one flat extra dimension. The cross sections for interactions of ultra-high energy cosmic neutrinos with nucleons are calculated. It is shown that effects related with massive graviton excitations can be detected i...
متن کاملLorentz Violation in Warped Extra Dimensions ∗ †
Higher dimensional theories which address some of the problematic issues of the Standard Model(SM) naturally involve some form of D = 4 + n-dimensional Lorentz invariance violation (LIV). In such models the fundamental physics which leads to, e.g., field localization, orbifolding, the existence of brane terms and the compactification process all can introduce LIV in the higher dimensional theor...
متن کاملTorsion Constraints in the Randall–Sundrum Scenario
Torsion appears due to fermions coupled to gravity and leads to the strongest particle physics bounds on flat extra dimensions. In this work, we consider torsion constraints in the case of a warped extra dimension with brane and bulk fermions. From current data we obtain a 3σ bound on the TeV–brane mass scale Λπ ≥ 2.2 (10) TeV for the AdS curvature k = 1 (0.01) in (reduced) Planck units. If Dir...
متن کاملGeneral warped solutions in 5D dilaton gravity
We present explicit analytic form of general warped solutions of the string inspired dilaton gravity system with bulk cosmological constant in 5 dimensions. The general solution allows for either nonvanishing effective 4–dimensional cosmological constant or the nontrivial 4–dimensional dilaton but not both.
متن کامل