Sakharov's induced gravity and the Poincaré gauge theory
arXiv:1805.03148 · doi:10.1142/9789811203961_0021
Abstract
We explore Sakharov's seminal idea that gravitational dynamics is induced by the quantum corrections from the matter sector. This was the starting point of the view that gravity has an emergent origin, which soon gained impetus due to the advent of black hole thermodynamics. In the generalized framework of Riemann--Cartan spacetime with both curvature and torsion, the induced gravitational action is obtained for free nonminimally coupled scalar and Dirac fields. For a realistic matter content, the induced Newton constant is obtained to be of the magnitude of the ultraviolet cutoff, which implies that the cutoff is of the order of the Planck mass. Finally, we conjecture that the action for any gauge theory of gravity at low energies can be induced by Sakharov's mechanism. This is explicitly shown by obtaining the Poincaré gauge theory of gravity.
34 pages, Contribution to the Memorial Volume for Jacob Bekenstein
References in corpus (7)
- Einstein's equations as a thermodynamic identity: The cases of stationary axisymmetric horizons and evolving spherically symmetric horizons
- Holography of Gravitational Action Functionals
- Emergent Gravity Paradigm: Recent Progress
- Poincare gauge theory of gravity: Friedman cosmology with even and odd parity modes. Analytic part
- Generalized pp waves in Poincaré gauge theory
- Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
- Spontaneous generation of the Newton constant in the renormalizable gravity theory