Asymptotic safety, emergence and minimal length

2010/08/31 by Roberto Percacci, R. Percacci, Gian Paolo Vacca +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/27/24/245026

published as Class.Quant.Grav.27:245026,2010 · LaTEX, 20 pages, 2 figures; v.2: minor changes, reflecting published version

openalex publication_date 2010/11/29 · arxiv created 2011/01/12 · arxiv updated 2011/01/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Abstract\nThere seems to be a common prejudice that asymptotic safety is either incompatible with, or at best unrelated to, the other topics in the title. This is not the case. In fact, we show that 1) the existence of a fixed point with suitable properties is a promising way of deriving emergent properties of gravity, and 2) there is a sense in which asymptotic safety implies a minimal length. In so doing we also discuss possible signatures of asymptotic safety in scattering experiments.

Citations

• The renormalization group and the ε expansion
• Exact evolution equation for the effective potential
• Thermodynamics of Spacetime: The Einstein Equation of State
• The renormalization group: Critical phenomena and the Kondo problem
• Asymptotic safety in higher-derivative gravity
• ULTRAVIOLET PROPERTIES OF f(R)-GRAVITY

Cited by

• Emergent Models for Gravity: an Overview of Microscopic Models