Running couplings with a vanishing scale anomaly

Abstract

Running couplings can be understood as arising from the spontaneous breaking of an exact scale invariance in appropriate effective theories with no dilatation anomaly. Any ordinary quantum field theory, even if it has massive fields, can be embedded into a theory with spontaneously broken exact scale invariance in such a way that the ordinary running is recovered in the appropriate limit, as long as the potential has a flat direction. These scale-invariant theories, however, do not necessarily solve the cosmological constant or naturalness problems, which become manifest in the need to fine-tune dimensionless parameters.

24 pages. v2, v3: Added references, improved discussions. v4: Published version

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Cited by in corpus (35)

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• No fifth force in a scale invariant universe
• Manifestly scale-invariant regularization and quantum effective operators
• Light Dark Matter, Naturalness, and the Radiative Origin of the Electroweak Scale
• Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance
• Asymptotically Safe Grand Unification
• Dark Matter and Leptogenesis Linked by Classical Scale Invariance
• Two-loop scale-invariant scalar potential and quantum effective operators
• Classical scale invariance in the inert doublet model
• Novel Higgs Potentials from Gauge Mediation of Exact Scale Breaking
• Frame (In)equivalence in Quantum Field Theory and Cosmology
• Radiative symmetry breaking from interacting UV fixed points
• Cosmological Signatures of a UV-Conformal Standard Model
• Gravity, Scale Invariance and the Hierarchy Problem
• Standard Model with spontaneously broken quantum scale invariance
• Inflation from Asymptotically Safe Theories
• Classical Weyl Transverse Gravity
• Asymptotic Scale Invariance and its Consequences
• Hidden and explicit quantum scale invariance
• Quantum implications of a scale invariant regularisation
• Comments on the Hierarchy Problem in Effective Theories
• Dilaton-assisted generation of the Fermi scale from the Planck scale
• Asymptotically safe and free chiral theories with and without scalars
• Vanishing trace anomaly in flat spacetime
• The fine tuning of the cosmological constant in a conformal model
• Quantum scale invariance in gauge theories and applications to muon production
• Quantum Scale Invariant Gravity with de Donder Gauge
• Restricted Weyl Symmetry and Spontaneous Symmetry Breakdown of Conformal Symmetry
• Quantum Theory of Weyl Invariant Scalar-tensor Gravity
• One-loop potential with scale invariance and effective operators
• Relating the cosmological constant and slow roll to conformal symmetry breaking