In this review article, we discuss the distinction and possible equivalence between scale
invariance and conformal invariance in relativistic quantum field theories. Under some …

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources
given by the expectation value of the stress-energy tensor of quantum fields, stochastic semi …

Using the approach to black-hole thermodynamics initiated by Gibbons and Hawking, in
terms of the Euclidean Einstein action, I show that the canonical ensemble with elements of …

Covariant perturbation theory proposed in the previous paper is worked up to the second
order in field strengths (curvatures). The trace of the heat kernel and the one-loop effective …

We rederive the universal bound on entropy with the help of black holes while allowing for
Unruh-Wald buoyancy. We consider a box full of entropy lowered toward and then dropped …

The expectation value< T ab> of the renormalized stress-energy tensor of quantum fields
generically violates the classical, local positive energy conditions of general relativity …

The spherically symmetric deformation of the Schwarzschild solution owing to the quantum
corrections to gravity is known as Kazakov-Solodukhin black-hole metric. Neglecting non …

One of the most exciting predictions of Einstein's theory of gravitationisthat there may
exist'black holes': putative objects whose gravitational fields are so strong that no physical …

A method for computing the stress-energy tensor of quantized scalar fields in static
spherically symmetric spacetimes is described. The fields can be massless or massive with …

We present a brief, and to a great extent, pedagogical, review on renormalization in curved
spacetime and some recent results on the derivation and better understanding of quantum …