Dimensional reduction without continuous extra dimensions
نویسندگان
چکیده
منابع مشابه
Dimensional Reduction without Continuous Extra Dimensions
We describe a novel approach to dimensional reduction in classical field theory. Inspired by ideas from noncommutative geometry, we introduce extended algebras of differential forms over spacetime, generalized exterior derivatives, and generalized connections associated with the “geometry” of space-times with discrete extra dimensions. We apply our formalism to theories of gaugeand gravitationa...
متن کاملHigher Dimensional Operators or Large Extra Dimensions?
We deform gravity with higher curvature terms in four dimensions and argue that the non-relativistic limit is of the same form as the non-relativistic limit of the theories with large extra dimensions. Therefore the experiments that perform sub-millimeter tests of inverse-square law cannot distinguish the effects of large extra dimensions from the effects of higher dimensional operators. In oth...
متن کاملDimensional Reduction of Spacetime Induced by Nonlinear Scalar Dynamics and Noncompact Extra Dimensions
We discuss general aspects of dimensional reduction induced by nonlinear scalar dynamics, including the small fluctuation expansion of the action. The case of compact, positively curved scalar manifolds described by symmetric spaces G / H is shown to be free of t~/chyonic instabilities; the spectrum consists of a graviton, a massless scalar and towers of massive spin-two, spin-one, and spin-zer...
متن کاملTime-like Extra Dimensions without Tachyons or Ghosts
Some time ago Dvali, Gabadadze and Senjanović [1] discussed brane world scenarios with time-like extra dimensions. In this paper we construct a solitonic 3-brane solution in the 5-dimensional Einstein-Hilbert-Gauss-Bonnet theory with the space-time signature (−,+,+,+,−). The direction transverse to the brane is the second time-like direction. The solitonic brane is δ-function like, and has the ...
متن کاملGravitationally-Induced Quantum Superpopsition Reduction with Large Extra Dimensions
A gravity-driven mechanism (“objective reduction”) proposed to explain quantum state reduction is analyzed in light of the possible existence of large extra dimensions in the ADD scenario. By calculating order-of-magnitude estimates for nucleon superpositions, it is shown that if the mechanism at question is correct, constraints may be placed on the number and size of extra dimensions. Hence, m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2013
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4771877