5 research outputs found

    Spectra of self-adjoint extensions and applications to solvable Schroedinger operators

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    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 N=2{\cal N}=2 supersymmetric massive Yang-Mills theory

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    We consider the N=2{\cal N}=2 supersymmetric theory of the massive Yang-Mills field formulated in the N=2{\cal N}=2 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 N=2{\cal N}=2 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

    Anomalies in nonrelativistic quantum mechanics

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    Superfield approach to the construction of effective action in quantum field theory with extended supersymmetry

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