Quantum Distortion Gravity: A Complete One-Loop Analysis of the Minimal Truncation - Second Edition, Revised and Corrected
English | October 9, 2026 | ASIN: B0HMGC8SJR | 285 pages | Epub | 4.56 MB
Quantum Distortion Gravity (QDG) is a metric-affine framework in which the connection is split into the Levi-Civita part and a distortion tensor, and Weyl symmetry is gauged. This monograph develops the theory from its classical foundations to a one-loop renormalization-group analysis.Part I reviews the functional renormalization group, metric-affine geometry, Weyl symmetry and the heat-kernel method. Part II builds the classical theory: the irreducible decomposition of the distortion, a no-go theorem for bare invariants, the Weyl-invariant action and its infrared limit. Part III treats the quantization: constraint analysis, BRST-BV quantization, the Weyl anomaly and the anomaly-induced action. Part IV derives the flow of the Einstein-Hilbert sector from the Wetterich equation, adds minimally coupled matter, and solves the non-Gaussian fixed point in closed form. It tests the existence of the fixed point against nine regulators and states how it depends on the matter content. Parts V and VI cover advanced topics (heat kernel in a background field strength, scale generation, cosmology, gravitational waves, spectral dimension) and a canonical formulation in Ashtekar variables.The second edition replaces the flow of the first edition, which was not derived from the Einstein-Hilbert action, with a derived one; the old flow is kept as a clearly labelled model. Every chapter says what is derived, what is quoted from the literature and what remains an open problem. Most chapters end with exercises, solutions are given for a selection, and the Python code behind the numerical results is distributed with the book.Intended readers: graduate students and researchers in quantum gravity, asymptotic safety and metric-affine gravity.Released under a Creative Commons Attribution 4.0 licence.
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