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 …

We analyze the effects of Robin-like boundary conditions on different quantum field theories
of spin 0, 1/2 and 1 on manifolds with boundaries. In particular, we show that these …

A bstract The dynamics of the magnetic field in a superconducting phase is described by an
effective massive bosonic field theory. If the superconductor is confined in a domain M with …

We study the isospectrality problem for a relativistic free quantum particle, described by the
Dirac Hamiltonian, confined in a one-dimensional ring with a junction. We analyze all the …

The domain model for the QCD vacuum has previously been developed and shown to
exhibit confinement of quarks, a strong correlation of the local chirality of quark modes, and …

Strong ellipticity and spectral properties of chiral bag boundary conditions Page 1 Journal of
Physics A: Mathematical and General Strong ellipticity and spectral properties of chiral bag …

It is usually assumed that $4 D $ instantons can only arise in non-Abelian theories. In this
paper we re-examine this conventional wisdom by explicitly constructing instantons in an …

Local boundary conditions for spinor fields are expressed in terms of a 1-parameter family of
boundary operators, and find applications ranging from (supersymmetric) quantum …

We study asymptotic expansions of the smeared L 2-traces F e− t P^ 2 and FP e− tP^ 2,
where P is an operator of Dirac type and F is an auxiliary smooth endomorphism. We …

We study the finite-temperature free energy and fermion number for Dirac fields in a one-
dimensional spatial segment, under two different members of the family of local boundary …