ar X iv : m at h - ph / 0 51 20 41 v 1 1 2 D ec 2 00 5 Particles in a magnetic field and plasma analogies : doubly periodic boundary conditions

ar X iv : m at h - ph / 0 41 10 85 v 6 2 0 D ec 2 00 4 An Ambiguous Statement Called ‘ Tetrad Postulate ’ and the Correct Field Equations

ar X iv : h ep - l at / 0 51 20 11 v 1 9 D ec 2 00 5 Nucleon structure from generalized parton distributions in lattice QCD ∗ †

This talk presents results from the QCDSF-UKQCD collaboration for moments of leading twist generalized parton distributions in two-flavor lattice QCD based on O(a) improved Wilson Fermions. We study helicity independent and helicity flip GPDs with a focus on densities of quarks in the transverse plane.

ar X iv : h ep - l at / 0 41 00 40 v 1 2 5 O ct 2 00 4 Dependence of Dirac eigenmodes on boundary conditions for SU ( 2 ) lattice gauge theory ∗

We analyze zero modes of the Dirac operator for SU(2) lattice gauge theory. We find that the zero modes are strongly localized in all 4 directions. The position of these lumps depends on the boundary conditions we use for the Dirac operator. We compare periodic boundary conditions and anti-periodic boundary conditions and find that the position of the zero modes jumps for about one third of the...

ar X iv : 0 81 2 . 30 09 v 1 [ m at h . A P ] 1 6 D ec 2 00 8 Dirichlet and Neumann problems for Klein - Gordon - Maxwell systems ∗

This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium with a purely electrostatic field. We prescribe Dirichlet boundary conditions on the matter field, and either Dirichlet or Neumann boundary conditions on the electric potential. MSC2000: 35J55, 35J65, 35J50, 35Q40, 35...

ar X iv : m at h - ph / 0 51 10 74 v 2 1 D ec 2 00 5 1 / f Noise in Fractal Quaternionic Structures

We consider the logistic map over quaternions H ∼ R 4 and different 2D projections of Mandelbrot set in 4D quaternionic space. The approximations (for finite number of iterations) of these 2D projections are fractal circles. We show that a point process defined by radiuses Rj of those fractal circles exhibits pure 1/f noise.