We provide a review of both new experimental and theoretical developments in the Casimir
effect. The Casimir effect results from the alteration by the boundaries of the zero-point …

The heat kernel expansion is a very convenient tool for studying one-loop divergences,
anomalies and various asymptotics of the effective action. The aim of this report is to collect …

We present a very quick and powerful method for the calculation of heat kernel coefficients. It
makes use of rather common ideas, as integral representations of the spectral sum, Mellin …

A bstract The trace anomaly of conformal field theories in four dimensions is characterized
by 'a'and 'c'-functions. The scaling properties of the effective action of a CFT in the presence …

We consider zeta functions and heat-kernel expansions on the bounded, generalized cone
in arbitrary dimensions using an improved calculational technique. The specific case of a …

This book reflects our own struggle to understand the semiclassical behaviour of quantized
fields in the presence of boundaries. Along many years, motivated by the problems of …

The incompleteness of the Dirac quantization scheme leads to a redundant set of solutions
of the Wheeler-DeWitt equation for the wave function in the superspace of quantum …

The Dirac operator has many useful applications in theoretical physics and mathematics.
This book provides a clear, concise and self-contained introduction to the global theory of …

Vector fields on a disk satisfying two types of boundary conditions are studied. These
boundary conditions are selected by BRST‐invariance in electrodynamics. They also …

We discuss applications of perturbative quantum gravity in the theory of very early quantum
Universe and quantum cosmology. Consistency of the theoretical formalism for quantum …