Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-06-04
Phys.Rev.D84:024039,2011
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 4 figures, v2: Paper reorganized to improve clarity; additional explanations and references added; version accepted
Scientific paper
10.1103/PhysRevD.84.024039
We study the field theoretical description of a generic theory of gravity flowing to Einstein General Relativity in IR. We prove that, if ghost-free, in the weakly coupled regime such a theory can never become weaker than General Relativity. Using this fact, as a byproduct, we suggest that in a ghost-free theory of gravity trans-Planckian propagating quantum degrees of freedom cannot exist. The only physical meaning of a trans-Planckian pole is the one of a classical state (Black Hole) which is described by the light IR quantum degrees of freedom and gives exponentially-suppressed contributions to virtual processes. In this picture Einstein gravity is UV self-complete, although not Wilsonian, and sub-Planckian distances are unobservable in any healthy theory of gravity. We then finally show that this UV/IR correspondence puts a severe constraint on any attempt of conventional Wilsonian UV-completion of trans-Planckian gravity. Specifically, there is no well-defined energy domain in which gravity could become asymptotically weak or safe.
Dvali Gia
Folkerts Sarah
Germani Cristiano
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