Quantum Fields in Curved Space N. D. Birrell, P. C. W. Davies
Publisher: Cambridge University Press

For light scalar fields, perturbation theory is plagued by infrared divergences which require resummation techniques. It's not a quantum gravitational effect, that's the exact reason why it's been dissected since decades. In the context of AQFT the structure of local nets is used as the very axiomatization of what a quantum field theory is (as opposed to . According to modern 'quantum field theory' apparently empty space is not really empty at all, but is teeming with pairs of 'virtual' particles that come in and out of existence continuously. I can't do the math, but I suspect that gravity waves from distant events are unlikely to penetrate spacetime that is locally curved by strong gravitational fields. Later Einstein postulated that the gravitational field was not a property of matter at all, but the result of space-time curving in response to matter. A comprehensive review, with plenty of background information, is in. That was based on semiclassical gravity approach??? One member of a virtual-particle pair will In this theory there is no 'gravitons' or undiscovered particles, objects just free-fall (gravity) towards the greatest mass because it has the slowest rate that time flows and the greatest curvature of spacetime. Black hole evaporation is an effect of quantum field theory in curved spacetime. Semiclassical gravity, is the same name used for "quantum field theory in curved-spacetime" ??? And what about the Unruh effect ??? A local net of observables is the assignment associated to a quantum field theory of algebras of local observables to pieces of spacetime.