The renormalization group flow of the dilaton potential

Abstract

We consider a scalar-metric gauge theory of gravity with independent metric, connection and dilaton. The role of the dilaton is to provide the scale of all masses, via its vacuum expectation value. In this theory, we study the renormalization group flow of the dilaton potential, taking into account threshold effects at the Planck scale. Due to the running of the VEV of the dilaton all particles that would naively seem to have masses larger than Planck's mass, may actually not propagate. This could solve the problem of unitarity in these theories.

27 pages, plain-Tex

References in corpus (10)

• Exact evolution equation for the effective potential
• General relativity as an effective field theory: The leading quantum corrections
• On the Foundations of Chiral Perturbation Theory
• The effective potential and the renormalisation group
• The Higgs Phenomenon in Quantum Gravity
• BRS symmetry for Yang-Mills theory with exact renormalization group
• Ward identities and Wilson renormalization group for QED
• Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance
• Average Effective Potential for the Conformal Factor
• Renormalization Group and Universality

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• The heat-kernel and the average effective potential
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• Spontaneous symmetry breaking with Wilson renormalization group
• Scalar-QED β-functions near Planck's Scale
• Towards Metric-Affine Quantum Gravity