Física de Partículas y Cosmología
|
|
Meissner Effect from Landau ProblemThe Landau problem for inhomogeneous magnetic fields is examined in a very general context and several interesting analogies with the Nielsen-Olesen vortices are established. Firstly we show that the Landau problem with non-homogeneous magnetic fields exhibits Meissner effect that is unstable unless two-body interactions are added and vortices emerge. Using the scaling freedom we can write the Schrödinger equation in terms of the scales ratio κ=E/m∝1−T/Tc where the last identification is realised simply by using the Gizburg-Landau theory. We find our equations are valid in the superconducting regime, and it is not possible for the Cooper pairs amplitude to reach to a constant, non-zero value, and therefore the theory is unstable. The supersymmetric quantum mechanics version, by completeness, is also considered. |
|
|
Anapole dark matter interactions as soft hidden photonsWe propose a model where the anapole appears as a hidden photon that is coupled to visible matter through a kinetic mixing. For low momentum |p|<<M, where M is the cutoff the model (soft hidden photon limit) is reduced to the Ho-Scherrer description. We show that the hidden gauge boson is stable and therefore hidden photons are indeed, candidates for dark matter. Our approach shows that anapole and kinetic mixing terms are equivalent descriptions seen from different scales of energy. |
