[en] Renormdynamics of couplings constants and masses considered.

[en] We discuss the factors which determine the strength of the excitonic coupling constant and show that, in general, it will be small. However, we show that by proper choice of the system and its energy levels, strong coupling should be possible. In this case superconductivity at higher temperatures should occur

[en] Abstract only

[en] It is demonstrated, by using the proper renormalization procedure in the improved one-loop approximation, that the effective coupling constant approaches a constant nonzero value at very high temperature. Weldon's result, which shows that the coupling constant grows logarithmically with temperature, is unsatisfactory because of the presence of an arbitrary constant energy scale. (author)

[en] Short communication

[en] The results of a search for anomalous couplings of the tau lepton using data collected with the L3 detector at LEP are presented

No abstract available

[en] The discussion of the unification of n interactions is found to be natural within the formalism of partial differential equations with respect to the n open-quotes sphericalclose quotes rather than the n (usual) open-quotes Cartesianclose quotes coupling constants. The integrability freedom relations allows the author to integrate the S matrix in terms of just one coupling constant, the radial coupling constant. This is the essence of the unified description of n interactions. If however, there exists a open-quotes universalclose quotes fermion neutral current density coupled to n Cartesian neutral vector bosons, then the n physical spherical vector bosons become dependent on the (n-1) coupling angles. The coupling angles thus become the integral part of the free system, and as such they cease being coupling parameters. This achieves the true unification of n interactions in terms of the single - the radial - coupling constant. In this sense, the SU(2) x U(1) electroweak model represents a truly unified theory which, unfortunately, ceases to be so with the inclusion of quantum chromodynamics

[en] The Alday–Gaiotto–Tachikawa relations reduce S-duality to the modular transformations of conformal blocks. It was recently conjectured that, for the four-point conformal block, the modular transform up to the non-perturbative contributions can be written in the form of the ordinary Fourier transform when β ≡ −ϵ₁/ϵ₂ = 1. Here I extend this conjecture to general values of ϵ₁, ϵ₂. Namely, I argue that, for a properly normalized four-point conformal block the S-duality is perturbatively given by the Fourier transform for arbitrary values of the deformation parameters ϵ₁, ϵ₂. The conjecture is based on explicit perturbative computations in the first few orders of the string coupling constant g² ≡ −ϵ₁ϵ₂ and hypermultiplet masses. (paper)

[en] In this paper, we investigate the scattering properties of the hyperbolic BC_n Sutherland and the rational BC_n Ruijsenaars–Schneider–van Diejen many-particle systems with three independent coupling constants. Utilizing the recently established action-angle duality between these classical integrable models, we construct their wave and scattering maps. In particular, we prove that for both particle systems the scattering map has a factorized form