5 research outputs found
Spectra of self-adjoint extensions and applications to solvable Schroedinger operators
We give a self-contained presentation of the theory of self-adjoint
extensions using the technique of boundary triples. A description of the
spectra of self-adjoint extensions in terms of the corresponding Krein maps
(Weyl functions) is given. Applications include quantum graphs, point
interactions, hybrid spaces, singular perturbations.Comment: 81 pages, new references added, subsection 1.3 extended, typos
correcte
One-loop effective action in supersymmetric massive Yang-Mills theory
We consider the supersymmetric theory of the massive Yang-Mills
field formulated in the harmonic superspace. The various
gauge-invariant forms of writing the mass term in the action (in particular,
using the Stueckelberg superfield), which result in dual formulations of the
theory, are presented. We develop a gauge-invariant and explicitly
supersymmetric scheme of the loop off-shell expansion of the superfield
effective action. In the framework of this scheme, we calculate gauge-invariant
and explicitly supersymmetric one-loop counterterms including new
counterterms depending on the Stueckelberg superfield. Component structure of
one of these counterterms is analyzed.Comment: 18, pages, Accepted for publication in Theor. Math. Phy