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Gauge and parametrization dependence of Quantum Einstein Gravity within the Proper Time flow
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Proper time functional flow equations have garnered significant attention in recent years, as they are particularly suitable in analyzing non-perturbative contexts. By resorting to this flow, we investigate the regulator and gauge dependence in quantum Einstein gravity within the asymptotic safety framework, considering various regularization schemes. Our findings indicate that some details of the regulator have minor influence on the critical properties of the theory. In contrast, the selection between linear and exponential parametrizations appears to have a more substantial impact on the scaling behavior of the renormalized flow near the non-Gaussian fixed point.
Forward citations
Cited by 3 Pith papers
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In an essential proper-time scheme, gauge dependence of the flow for Newton's constant cancels order-by-order once redundant off-shell terms are absorbed by field redefinitions, leaving a gauge-independent non-Gaussia...
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Minimal Proper Time and Deterministic Microstates: Emergent Quantum Fields and Relativistic Spacetime
Coarse-graining deterministic event chains yields Nambu-like QFT with running ħ and IR unitarity, plus an emergent metric selected by Lovelock to Einstein gravity.
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Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory
Gravity's non-minimal coupling drives the quartic self-coupling of an O(N) scalar to zero at an attractive fixed point, making the broken-phase theory UV-complete and bounding the scalar mass.
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