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 …

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 study B-type D-branes in linear sigma models with Abelian gauge groups. The most
important finding is the grade restriction rule. It classifies representations of the gauge group …

We apply zeta-function regularization to the kink and supersymmetric (SUSY) kink and
compute its quantum mass. We fix ambiguities in the renormalization by considering the …

The consistency of quantum field theories defined on domains with external borders
imposes very restrictive constraints on the type of boundary conditions that the fields can …

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 …

We start this paper with a historical survey of the Casimir effect, showing that its origin is
related to experiments on colloidal chemistry. We present two methods of computing Casimir …

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 discuss the thermodynamics of the O (N) model across the corresponding phase
transition using the two-loop Φ-derivable approximation of the effective potential and …