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Cosmological constant in scale-invariant theories

2010/12/31 by R. Foot, Robert Foot, Archil Kobakhidze +1 · 26 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Dilaton #Electroweak interaction #False vacuum #Invariant (physics) #Mathematical physics #Metastability #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scale invariance #Symmetry breaking #Theoretical physics #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.84.075010

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 84(7) (American Physical Society) · 10 pages; v2: clarifying remarks added, to appear in Physical Review D

arxiv created 2011/10/10 · openalex publication_date 2011/10/12 · arxiv updated 2015/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The incorporation of a small cosmological constant within radiatively broken scale-invariant models is discussed. We show that phenomenologically consistent scale-invariant models can be constructed which allow a small positive cosmological constant, providing certain relation between the particle masses is satisfied. As a result, the mass of the dilaton is generated at two-loop level. Another interesting consequence is that the electroweak symmetry-breaking vacuum in such models is necessarily a metastable ``false'' vacuum which, fortunately, is not expected to decay on cosmological time scales.

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