A scalar adjoint field is introduced as a spatial average over (anti)calorons in a thermalized SU(2) Yang-Mills theory. This field is associated with the thermal ground state in the deconfining phase and acts as a background for gauge fields of trivial topology. Without invoking detailed microscopic information we study the properties of the corresponding potential, and we discuss its thermodyn...

Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation −∆u = p(x)[g(u) + f(u) + |∇u| ] in RN (N ≥ 3), where 0 < q < 1, p is a positive weight such that R∞ 0 rφ(r)dr < ∞, where φ(r) = max|x|=r p(x), r ≥ 0. Under the hypotheses that both g and f are sublinear, which include no monotonicity on the functions g(u), f(u), g(u)/u and f(u)/u, we show the exi...

Some 16 transitions in atomic oxygen originating from its 3P ground state were measured using a tunable narrow-band extreme-ultraviolet laser source, with an unprecedented accuracy of λ/λ= 8× 10−8. The results are relevant for comparisons with spectral absorption features observed in the line of sight of quasars, in order to test a possible variation of the fine-structure constant α on a cosmol...

Bellemans and De Leener) have studied the ground state energy of an electron gas moving in a lattice of positive charges. This picture is ex~ pected to correspond roughly to actual metals or metallic solutions. The purpose of this paper is to extend their treatment to a study of spin paramagnetism. The magnetic susceptibility of the system is determined by the change in energy as the electron s...

Instanton contributions to the Laplace sum-rules for correlation functions of scalar gluonic currents are calculated. It is demonstrated that the instanton contributions consist of an instanton continuum that contributes to all sum-rules and a (scale-independent) portion which makes a unique contribution to the sum-rule containing the low-energy theorem. These instanton contributions are found ...

We study the consequences of recent progress in the experimental determination of masses of neutron rich nuclei for our knowledge of the ground state of cold dense matter. The most recent experimental data determine the ground state of cold dense matter up to ρ ≃ 10 11 g cm −3. The composition and the equation of state of the ground state of matter, in this density interval, are calculated.

We study the ground state Ψ 0 =