Quantization of gravity and finite temperature effects
arXiv:2109.01647 · doi:10.3390/particles4040035
Abstract
Gravity is perturbatively renormalizable for the physical states which can be conveniently defined via foliation-based quantization. In recent sequels, one-loop analysis was explicitly carried out for Einstein-scalar and Einstein-Maxwell systems. Various germane issues and all-loop renormalizability have been addressed. In the present work we make further progress by carrying out several additional tasks. Firstly, we present an alternative 4D covariant derivation of the physical state condition by examining gauge choice-independence of a scattering amplitude. To this end, a careful dichotomy between the ordinary, and large gauge symmetries is required and appropriate gauge-fixing of the ordinary symmetry must be performed. Secondly, vacuum energy is analyzed in a finite-temperature setup. A variant optimal perturbation theory is implemented to two-loop. The renormalized mass determined by the optimal perturbation theory turns out to be on the order of the temperature, allowing one to avoid the cosmological constant problem. The third task that we take up is examination of the possibility of asymptotic freedom in finite-temperature quantum electrodynamics. In spite of the debates in the literature, the idea remains reasonable.
arXiv comment34 (27+7) pages, two figures, clarifications and glossary of terms added, invited contribution to Particles
References in corpus (47)
- Cosmological Constant - the Weight of the Vacuum
- Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
- The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
- Resummation in a Hot Scalar Field Theory
- Cosmological constant and vacuum energy: old and new ideas
- Basics of thermal field theory -- a tutorial on perturbative computations
- Screened Perturbation Theory
- White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
- Optimized Perturbation Theory at Finite Temperature
- Gravitational Correction to Running of Gauge Couplings
- Realistic Observable in Background-Free Quantum Gravity: the Planck-Star Tunnelling-Time
- Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
- Quantum gravitational contributions to quantum electrodynamics
- Renormalisation of Newton's constant
- Renormalization group in super-renormalizable quantum gravity
- Quantum gravity and charge renormalization
- Symmetry Algebras in Chern-Simons Theories with Boundary: Canonical Approach
- The loop gravity string
- Mass Expansions of Screened Perturbation Theory
- The Hamiltonian formulation of General Relativity: myths and reality
- One-loop effective action around de Sitter space
- Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
- Hypersurface foliation approach to renormalization of ADM formulation of gravity
- Lagrangian constraints and renormalization of 4D gravity
- An Alternate Path Integral for Quantum Gravity
- Holographic quantization of gravity in a black hole background
- Black Hole as a Quantum Field Configuration
- Foliation, jet bundle and quantization of Einstein gravity
- Quantum-induced trans-Planckian energy near horizon
- One-loop renormalization of a gravity-scalar system
- Dimensional reduction to hypersurface of foliation
- On the pattern of black hole information release
- Critical scaling in quantum gravity from the renormalisation group
- Quantization of gravity through hypersurface foliation
- Boundary dynamics in gravitational theories
- Quantum-corrected geometry of horizon vicinity
- Black hole evolution in quantum-gravitational framework
- Foliation-based quantization and black hole information
- The emergence of cosmic repulsion
- From Uneventful Horizon to Firewall in D-Dimensional Effective Theory
- Quantum-gravitational trans-Planckian radiation by a rotating black hole
- Reduction of gravity-matter and dS gravity to hypersurface
- 4D covariance of holographic quantization of Einstein gravity
- Quantum gravitational effects on boundary
- On Firewalls in quantum-corrected General Relativity
- Revisit of renormalization of Einstein-Maxwell theory at one-loop
- Quantum-gravitational trans-Planckian energy of a time-dependent black hole