On a renormalizable class of gauge fixings for the gauge invariant operator Amin⁡2A_{\min }^{2}

The dimension two gauge invariant non-local operator $A_{\min }^{2}$, obtained through the minimization of $\int d^4x A^2$ along the gauge orbit, allows to introduce a non-local gauge invariant configuration $A^h_\mu$ which can be employed to built up a class of Euclidean massive Yang-Mills models useful to investigate non-perturbative infrared effects of confining theories. A fully local setup for both $A_{\min }^{2}$ and $A^{h}_\mu$ can be achieved, resulting in a local and BRST invariant action which shares similarities with the Stueckelberg formalism. Though, unlike the case of the Stueckelberg action, the use of $A_{\min }^{2}$ gives rise to an all orders renormalizable action, a feature which will be illustrated by means of a class of covariant gauge fixings which, as much as 't Hooft's $R_\zeta$-gauge of spontaneously broken gauge theories, provide a mass for the Stueckelberg field

Renormalizability of N=1\mathcal{N}=1 super Yang-Mills theory in Landau gauge with a Stueckelberg-like field

We construct a vector gauge invariant transverse field configuration $V^H$, consisting of the well-known superfield $V$ and of a Stueckelberg-like chiral superfield. The renormalizability of the Super Yang Mills action in the Landau gauge is analyzed in the presence of a gauge invariant mass term $m^2 \int dV \mathcal{M}(V^H)$, with $\mathcal{M}(V^H)$ a power series in $V^H$. Unlike the original Stueckelberg action, the resulting action turns out to be renormalizable to all orders.Comment: 19 page

Developing competency profiles of IT specialists based on semantic analysis of vacancies

The article focuses on applying Big Data processing methods and tools for creating specialists' competency profiles. It covers the approach developed to formulate the key competencies required for the IT vacancies. The first stage of the research includes carrying out a semantic analysis of the IT vacancies database. The second stage includes clustering of the results of semantic analysis and using them for building the map of the competencies of IT specialists. The modularity score reveals a significant isolation of the specialties in this area. The performed approach can be implemented in designing the professional standards and competency based education programs. © Published under licence by IOP Publishing Ltd