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 …

The study of general two-dimensional models of gravity allows to tackle basic questions of
quantum gravity, bypassing important technical complications which make the treatment in …

The literature on the spectral analysis of second order elliptic differential operators contains
a great deal of information on the spectral functions for explicitly known spectra. The same is …

A great deal of progress has been made recently in the field of asymptotic formulas that arise
in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral …

One of the most efficient methods for the evaluation of the vacuum expectation values for
physical observables in the Casimir effect is based on using the Abel-Plana summation …

We analyze the ultraviolet divergences in the ground state energy for a penetrable sphere
and a dielectric ball. We argue that for massless fields subtraction of the “empty space” or …

A bstract A well-defined variational principle for gravitational actions typically requires to
cancel boundary terms produced by the variation of the bulk action with a suitable set of …

We evaluate the Casimir energy and force for a massive scalar field with general curvature
coupling parameter, subject to Robin boundary conditions on two codimension-one parallel …

The influence of the gravity acceleration on the regularized energy-momentum tensor of the
quantized electromagnetic field between two plane-parallel conducting plates is derived. We …

Positive frequency Wightman function and vacuum expectation value of the energy–
momentum tensor are computed for a massive scalar field with general curvature coupling …