The heat-kernel expansion and ζ-regularization techniques for quantum field theory and
extended objects on curved space-times are reviewed. In particular, ultrastatic space-times …

We consider a class of grand unified theories (GUT's) based on the Georgi-Glashow model
in curved spacetime. We are particularly concerned with the coupling constants involving the …

The renormalization-group improved effective potential for an arbitrary renoormalizable
massles ggauge theory in curved spacetime is found, thus generalizing Coleman …

By means of a Riemann normal coordinate expansion for the metric and a momentum-space
representation for the Green's function, we derive in analytic form the one-loop effective …

For the O (N) field theory with λ Φ 4 self-coupling, we construct the two-particle-irreducible
(2PI) closed-time-path (CTP) effective action in a general curved spacetime. From this we …

We discuss the effect of certain aspects of curvature and topology on symmetry breaking in
curved spacetime with the aim of understanding phase transitions in the early Universe. We …

The backreaction of quantum fluctuations on the evolution of a c-number background field
shows up in the appearance of new terms beside the classical ones in the effective evolution …

An important yet perplexing result from work in the 1990s and 2000s is the near-unity value
of the ratio of fluctuations in the vacuum energy density of quantum fields to the mean in a …

The renormalization group (RG) is used in order to obtain the RG improved effective
potential in curved spacetime. This potential is explicitly calculated for the Yukawa model …

We show that the one-loop effective action of quantum matter in a de Sitter background
induces spontaneous breaking of the O (4, 1) symmetry group of the classical spacetime …