We discuss the algebraic renormalization of the Yang–Mills gauge field theory in the presence of translations. Due to the translations the algebra between Sorella’s δ–operator, the exterior derivative and the BRST–operator closes. Therefore, we are able to derive an integrated parameter formula collecting in an elegant and compact way all nontrivial solutions of the descent equations. Work supp...

In this paper, we propose a general framework for studying a class of weighted highpass filters. Our framework, based on a multiscale signal decomposition, allows us to study a wide class of filters and to assess the merits of each. We derive an automatic procedure to optimally tune a filter to the local structure of the image under consideration. The entire algorithm is fully automatic and req...

A renormalizable local supersymmetry for the four dimensional antisymmetric tensor field model in a curved space–time background will be constructed. Contrary to other topological field theories a closed algebra between the BRS and the superdiffeomorphisms operator is realizable only if the vector parameter of the superdiffeomorphisms obeys a definite constraint. This also guarantees that the c...

We study classical and quantum aspects of D = 4; N = 2 BPS black holes for T2 compacti cation of D = 6; N = 1 heterotic string vacua. We extend dynamical relaxation phenomena of moduli elds to background consisting of a BPS soliton or a black hole and provide a simpler but more general derivation of the Ferrara-Kallosh's extremized black hole mass and entropy. We study quantum e ects to the the...

Thermodynamics of d = 4, N = 4 supersymmetric SU(N) Yang-Mills theory is studied with particular attention on perturbative expansion at weak ‘t Hooft coupling regime and interpolation to strong coupling regime thereof. Non-ideal gas effect to free-energy is calculated and found that leadingand next-to-leading-order corrections contribute with relative opposite signs. Padé approximant method is ...