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 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 …

We present the universal one-loop effective action up to dimension eight after integrating out
heavy fermion (s) using the Heat-Kernel method. We have discussed how the Dirac operator …

This book gives a detailed and self-contained introduction into the theory of spectral
functions, with an emphasis on their applications to quantum field theory. All methods are …

A bstract We consider four-dimensional Euclidean gravity in a finite cavity. Dirichlet
conditions do not yield a well-posed elliptic system, and Anderson has suggested boundary …

We extend previous calculations of the non-local form factors of semiclassical gravity in 4D
to include the Einstein–Hilbert term. The quantized fields are massive scalar, fermion and …

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 …

We study the ϕ⋆ 4 model for a scalar field in a linearization of the Snyder model, using the
methods of the worldline formalism. Our main result is a master equation for the 1-loop n …

A bstract Working in the geometric approach, we construct the lagrangians of N= 1 and N= 2
pure supergravity in four dimensions with negative cosmological constant, in the presence of …