One-loop renormalization of a gravity-scalar system
arXiv:1606.08384 · doi:10.1140/epjc/s10052-017-4896-4
Abstract
Extending the renormalizability proposal of the physical sector of 4D Einstein gravity, we have recently proposed renormalizability of the 3D physical sector of gravity-matter systems. The main goal of the present work is to conduct systematic one-loop renormalization of a gravity-matter system by applying our foliation-based quantization scheme. In this work we explicitly carry out renormalization of a gravity-scalar system with a Higgs-type potential. With the fluctuation part of the scalar field gauged away, the system becomes renormalizable through a metric field redefinition. We use dimensional regularization throughout. One of the salient aspects of our analysis is how the graviton propagator acquires the"mass" term. One-loop calculations lead to renormalization of the cosmological and Newton's constants. We discuss other implications of our results as well: time-varying vacuum energy density and masses of the elementary particles as well as the potential relevance of Neumann boundary condition for black hole information.
48 pages, 5 figures, sign error in eq.(6) (with all affected eqs) corrected
References in corpus (7)
- The Standard Model Higgs boson as the inflaton
- Nonperturbative Quantum Gravity
- The Dynamics of Quintessence, The Quintessence of Dynamics
- Perturbative Quantum Gravity Comes of Age
- Lagrangian constraints and renormalization of 4D gravity
- Quantum "violation" of Dirichlet boundary condition
- Reduction of gravity-matter and dS gravity to hypersurface
Cited by in corpus (11)
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- Foliation-based approach to quantum gravity and applications to astrophysics
- Quantum-gravitational trans-Planckian radiation by a rotating black hole
- Revisit of renormalization of Einstein-Maxwell theory at one-loop
- Quantization of gravity and finite temperature effects
- Quantum-gravitational trans-Planckian energy of a time-dependent black hole
- Cosmological constant as a finite temperature effect