Induced gravity II: grand unification



Einhorn, Martin B and Jones, DR Timothy
(2016) Induced gravity II: grand unification. JOURNAL OF HIGH ENERGY PHYSICS, 2016 (5). 185-.

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Abstract

Abstract: As an illustration of a renormalizable, asymptotically-free model of induced gravity, we consider an SO(10) gauge theory interacting with a real scalar multiplet in the adjoint representation. We show that dimensional transmutation can occur, spontaneously breaking SO(10) to SU(5)⊗U(1), while inducing the Planck mass and a positive cosmological constant, all proportional to the same scale v. All mass ratios are functions of the values of coupling constants at that scale. Below this scale (at which the Big Bang may occur), the model takes the usual form of Einstein-Hilbert gravity in de Sitter space plus calculable corrections. We show that there exist regions of parameter space in which the breaking results in a local minimum of the effective action giving a positive dilaton (mass)2 from two-loop corrections associated with the conformal anomaly. Furthermore, unlike the singlet case we considered previously, some minima lie within the basin of attraction of the ultraviolet fixed point. Moreover, the asymptotic behavior of the coupling constants also lie within the range of convergence of the Euclidean path integral, so there is hope that there will be candidates for sensible vacua. Although open questions remain concerning unitarity of all such renormalizable models of gravity, it is not obvious that, in curved backgrounds such as those considered here, unitarity is violated. In any case, any violation that may remain will be suppressed by inverse powers of the reduced Planck mass.

Item Type: Article
Uncontrolled Keywords: Models of Quantum Gravity, Renormalization Group, Anomalies in Field and String Theories, Cosmology of Theories beyond the SM
Depositing User: Symplectic Admin
Date Deposited: 29 Sep 2016 09:37
Last Modified: 16 Mar 2024 09:00
DOI: 10.1007/JHEP05(2016)185
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3003503