Evidence for a novel shift-symmetric universality class from the functional renormalization group

Abstract

Wetterich's equation provides a powerful tool for investigating the existence and universal properties of renormalization group fixed points exhibiting quantum scale invariance. Motivated by recent works on asymptotically safe scalar-tensor theories, we develop a novel approximation scheme which projects the functional renormalization group equation onto functions of the kinetic term. Applying this projection to scalars and gauge fields, our analysis identifies a new universality class with a very special spectrum of stability coefficients. The implications of our findings in the context of asymptotically safe gravity-matter systems are discussed.

10 pages, 3 figures

References in corpus (10)

• Exact evolution equation for the effective potential
• Search of scaling solutions in scalar-tensor gravity
• Essential Quantum Einstein Gravity
• Asymptotically Safe Gravity with Fermions
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• Asymptotic freedom and safety in quantum gravity
• New universality class in three dimensions: The critical Blume-Capel model
• Scale and Conformal Invariance in Higher Derivative Shift Symmetric Theories
• Multi-critical multi-field models: a CFT approach to the leading order
• Non-perturbative quantum Galileon in the exact renormalization group

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• Renormalization Flow of Nonlinear Electrodynamics
• Fate of chiral symmetry in Riemann-Cartan geometry