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 …

We review recent progress in the computation of leading quantum corrections to the
energies of classical solitons with topological structure, including multi-soliton models in one …

We calculate the next to the leading order Casimir effect for a real scalar field, within ϕ 4
theory, confined between two parallel plates in three spatial dimensions with the Dirichlet …

The next to the leading order Casimir effect for a real scalar field, within ϕ4 theory, confined
between two parallel plates is calculated in one spatial dimension. Here we use the Green's …

In this paper we develop a procedure to compute the one-loop quantum correction to the
kink masses in generic (1+ 1)-dimensional one-component scalar field theoretical models …

In this paper we construct a one-parametric family of (1+ 1)-dimensional one-component
scalar field theory models supporting kinks. Inspired by the sine-Gordon and ϕ4 models, we …

We compute the one-loop vacuum polarization energies of Abrikosov-Nielsen-Olesen
vortices with topological charge n in scalar electrodynamics, for the Bogomolny-Prasad …

In this paper a new version of the DHN (Dashen–Hasslacher–Neveu) formula, which is used
to compute the one-loop order kink mass correction in (1+ 1)-dimensional scalar field theory …

In these Lectures a method is described to analyze the effect of quantum fluctuations on
topological defect backgrounds up to the one-loop level. The method is based on the …

We consider vortices in scalar electrodynamics and compute the leading quantum correction
to their energies for the BPS case of identical classical masses of the Higgs and gauge …