A non-trivial UV fixed point for the scalar matter form factor exists in asymptotically safe quantum gravity, with a discrete spectrum of critical exponents and infrared locality restored.
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Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's interactive fixed point and compared with other schemes.
A minimal proper time τ_min is introduced into QFT to suppress high-energy modes, achieve asymptotic safety via dimensional reduction, and allow a deterministic regime near the Planck scale.
Proper-time FRG applied to gravity-coupled O(N) scalars largely reproduces scaling solutions and critical properties found with the effective average action, with some quantitative differences at finite and large N depending on improved schemes.
citing papers explorer
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Scaling Solutions of Matter Form Factors in Asymptotically Safe Quantum Gravity
A non-trivial UV fixed point for the scalar matter form factor exists in asymptotically safe quantum gravity, with a discrete spectrum of critical exponents and infrared locality restored.
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Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow
Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's interactive fixed point and compared with other schemes.
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Minimal Proper-time in Quantum Field Theory
A minimal proper time τ_min is introduced into QFT to suppress high-energy modes, achieve asymptotic safety via dimensional reduction, and allow a deterministic regime near the Planck scale.
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Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity
Proper-time FRG applied to gravity-coupled O(N) scalars largely reproduces scaling solutions and critical properties found with the effective average action, with some quantitative differences at finite and large N depending on improved schemes.