Scale Symmetry and Weinberg's No-go Theorem in the Cosmological Constant Problem

2018/12/24 by Ichiro Oda, Oda, Ichiro
Physics and Astronomy · Earth and Planetary Sciences · #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #Earth Systems and Cosmic Evolution

paper · pdf · doi:10.48550/arxiv.1812.09864

Abstract

We complete the proof of Weinberg's no-go theorem on the cosmological constant problem in classical gravity when the theory has a (global) scale symmetry. Stimulated with this proof, we explore a solution to the cosmological constant problem by the help of renormalization group equations. We find that the manifestly scale invariant regularization method provides a physically plausible solution to the cosmological constant problem, in particular, to the issue of radiative instability of the cosmological constant.

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