Exorcising Ghosts in Induced Gravity

Understand

Unitarity of scale-invariant coupled theory of higher-derivative gravity and matter is investigated.

• A scalar field coupled with dirac fermion is taken as matter sector.Following the idea of induced gravity Einstein-Hilbert term is generated via dynamical symmetry breaking of scale-invariance.
• The renormalisation group flows are computed and one-loop RG improved effective potential of scalar is calculated.
• Scalar field develops a new minimum via Coleman-Weinberg procedure inducing Newton's constant and masses in the matter sector.