Introduction to Quantization of Conformal Gravity
arXiv:2204.13856 · doi:10.3390/universe8040225
Abstract
A method for consistent quantization of conformal gravity treating conformal symmetry in a very controllable way is presented. First, we discuss local conformal symmetry in the framework of gravitational interactions, where we view it as an example of a general gauge theory. We also present some early attempts at quantization of conformal gravity and use the generalized framework of covariant quantization due to Faddeev and Popov. Some salient issues such as the need for conformal gauge-fixing, an issue with conformal third ghosts, and discontinuities in conformal gravity are studied as well. Finally, we provide some explanations of the original ad hoc methods of computation valid at the first quantum loop level in conformal gravity.
arXiv comment51 pages, review in the Special Issue The Quantum & The Gravity
References in corpus (59)
- Twenty Years of the Weyl Anomaly
- Conformal Symmetry and the Standard Model
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- Gauge Invariances and Phases of Massive Higher Spins in (A)dS
- Making the Case for Conformal Gravity
- The Running Gravitational Couplings
- Super-renormalizable & Finite Gravitational Theories
- Some remarks on high derivative quantum gravity
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Unitarity, stability and loops of unstable ghosts
- Weyl-Gauging and Conformal Invariance
- Fakeons And Lee-Wick Models
- The quantum mechanics of time travel through post-selected teleportation
- Conformal Quantum Gravity with the Gauss-Bonnet Term
- Universally Finite Gravitational & Gauge Theories
- Spacetime completeness of non-singular black holes in conformal gravity
- Quantum Gravity, Fakeons And Microcausality
- Universality and Ambiguities of the Conformal Anomaly
- Do we have unitary and (super)renormalizable Quantum Gravity below Planck scale?
- Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential
- Cutkosky rules and perturbative unitarity in Euclidean nonlocal quantum field theories
- Unitarity and Causality in Generalized Quantum Mechanics for Non-Chronal Spacetimes
- Stueckelberg breaking of Weyl conformal geometry with applications to gravity
- Scattering amplitudes in super-renormalizable gravity
- Simple Quantum Systems in Spacetimes with Closed Timelike Curves
- Fakeons, Microcausality And The Classical Limit Of Quantum Gravity
- Mass Generation, the Cosmological Constant Problem, Conformal Symmetry, and the Higgs Boson
- Finite quantum gauge theories
- Black hole evaporation in conformal gravity
- Finite quantum gravity in dS and AdS spacetimes
- Hamiltonian analysis of curvature-squared gravity with or without conformal invariance
- Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
- Finite Conformal Quantum Gravity and Nonsingular Spacetimes
- Unattainable extended spacetime regions in conformal gravity
- Gravitational waves and stability of cosmological solutions in the theory with anomaly-induced corrections
- Softly broken conformal symmetry and the stability of the electroweak scale
- Swampland, Gradient Flow and Infinite Distance
- A Four-Dimensional Theory for Quantum Gravity with Conformal and Nonconformal Explicit Solutions
- Formation and evaporation of an electrically charged black hole in conformal gravity
- Conformal Symmetry in Field Theory and in Quantum Gravity
- Unitarity of loop diagrams for the ghost-like propagator
- Supersymmetric field theory with benign ghosts
- Inflationary cosmology from quantum Conformal Gravity
- Tensor instabilities at the end of the LCDM universe
- A general study of regular and singular black hole solutions in Einstein's conformal gravity
- Beyond the linear analysis of stability in higher derivative gravity with the Bianchi-I metric
- Recent Progress in Fighting Ghosts in Quantum Gravity
- Finite conformal quantum gravity and spacetime singularities
- Conformal Invariance and the Metrication of the Fundamental Forces
- Canonical charges and asymptotic symmetry algebra of conformal gravity
- Infrared behavior of Weyl Gravity: Functional Renormalization Group approach
- Reflection positivity in nonlocal gravity
- Towards Ghost-Free Gravity and Standard Model
- Finite Entanglement Entropy of Black Holes
- Dark side of Weyl gravity
- Spectral action approach to higher derivative gravity
- Fresh perspective on gauging the conformal group
- Asymptotic symmetry algebra of conformal gravity
- Infrared behavior of Weyl Gravity