A generalisation of the Nielsen-Olesen vortex: non-cylindrical strings in a modified abelian-higgs model

Abstract

We modify the standard Abelian-Higgs model by introducing spatially-dependent couplings for the scalar and vector fields. We investigate static, non-cylindrically symmetric solutions of the resulting field equations and propose a pinch solution which interpolates between degenerate vacua along the string, labelled by ± |n|. This configuration corresponds to a vortex which shrinks to the Planck scale before re-emerging as an anti-vortex, resulting in the formation of a bead pair with one bead either side of the intersection. The solution is then topologically stable. A key assumption is that quantities such as phase and winding number, along with those which depend on them like the magnetic flux, become undefined at the Planck scale so that regions of opposite winding may be joined via a Planck-sized segment of neutral string. Similarities between this solution and the extra-dimensional windings of strings in type IIB string theory are discussed and a correspondence between field theory and string theory parameters is suggested. The spatial-dependence of the field couplings is found to have a natural interpretation in the string picture and results from the variation of the winding radius, giving rise to a varying (effective) string coupling. An interesting result is an estimate of the Higgs mass (at critical coupling) in terms of the parameters which define the Klebanov-Strassler geometry and which, in principle, may be constrained by cosmological observations.

Cosmic strings with twisted magnetic flux lines and wound-strings in extra dimensions

“…Thus, in this model, the parameters δ and ξ are 1 A similar relation, i.e. |n| ∼ a −ξ ∼ δ −ξ ∼ ω −ξ σ (ti) = 1 − ω 2 θ (ti) −ξ/2 = 1 + r 2 s|n| /λ 2 z (ti) −ξ/2 , with ξ = 1, was proposed in [25]. This correspondence was based on directly comparing P0 and (s) P0, rather than E |n| = √ P0P 0 and Es = √ (s) P0 (s) P 0 , as defined in sections 2 and 3.…”

“…, was proposed in [25]. This correspondence was based on directly comparing P0 and (s) P0, rather than E |n| = √ P0P 0 and Es = √ (s) P0 (s) P 0 , as defined in Sects.…”

Is there a connection between “dark” and “light” physics?

“…(40) and (41)- (42), include those with a running gravitational coupling [37][38][39][40], variable speed of light [41][42][43][44][45][46][47][48], or dynamical dark energy field [49][50][51][52]. (See also [53][54][55][56][57] for current bounds on varying α e theories, including their effects on cosmic string phenomenology [58,59] and [60][61][62][63][64] for more general models involving variations of multiple physical constants. )…”