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 subject of this book is the Casimir effect, a manifestation of zero-point oscillations of the
quantum vacuum resulting in forces acting between closely spaced bodies. For the benefit of …

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 consider local semitransparent Neumann boundary conditions for a quantum scalar field
as imposed by a quadratic coupling to a source localized on a flat codimension-one surface …

JHEP11(2012)032 Page 1 JHEP11(2012)032 Published for SISSA by Springer Received:
January 16, 2012 Revised: August 16, 2012 Accepted: October 15, 2012 Published …

In this article we consider resummed expressions for the heat-kernel's (HK's) trace of a
Laplace operator, the latter including a potential and imposing Dirichlet semitransparent …

We study the quantum force between classical objects mediated by massive scalar fields
bilinearly coupled to matter. The existence of such fields is motivated by dark matter, dark …

These are informal notes on how one can prove the existence and asymptotics of the heat
kernel on a compact Riemannian manifold with boundary. The method differs from many …

In this work we analyze the spectral zeta function for massless scalar fields propagating in a
D-dimensional flat space under the influence of a shell potential. The static nature of the …

In the presence of a boundary interaction, Neumann boundary conditions should be
modified to contain a function S of the boundary fields:(∇ N+ S) φ= 0. Information on …