Renormalization of Einstein gravity through a derivative-dependent field redefinition

2013/09/30 by Brian Slovick
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Field (mathematics) #Gravitation #Higher-dimensional Einstein gravity #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Renormalization #Semiclassical gravity #Unitarity #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1142/s0217732318500165

published as Modern Physics Letters A 33, 1850016 (2018)

openalex publication_date 2017/12/28 · arxiv created 2018/03/10 · arxiv updated 2018/03/13 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

This work explores an alternative solution to the problem of renormalizability in Einstein gravity. In the proposed approach, Einstein gravity is transformed into the renormalizable theory of four-derivative gravity by applying a local field redefinition containing an infinite number of higher derivatives. It is also shown that the current–current amplitude is invariant with the field redefinition, and thus the unitarity of Einstein gravity is preserved.

Citations

• Quantum gravity at two loops
• Renormalization and unitarity in higher derivative and nonlocal gravity theories
• Effective beta-functions for effective field theory
• Asymptotic safety in higher-derivative gravity
• Emergence of a 4D World from Causal Quantum Gravity
• Renormalization of higher-derivative quantum gravity