Abstract
In this work we calibrate two different analytic models of semilocal strings by constraining the values of their free parameters. In order to do so, we use data obtained from the largest and most accurate field theory simulations of semilocal strings to date, and compare several key properties with the predictions of the models. As this is still work in progress, we present some preliminary results together with descriptions of the methodology we are using in the characterisation of semilocal string networks.
Highlights
Understanding the evolution of string networks is crucial for predicting their number densities, which in turn determine their potentially observable effects
Field Theory Simulations We simulated numerically the semilocal model introduced in section 2.1 so as to provide us with data to be used for comparison with the analytic models
Semilocal strings are non topological entities; we cannot use topology to detect them. This kind of strings can be thought of as concentrations of magnetic energy, and that is the strategy we follow: we first calculate the maximum of the magnetic field strength, and the radius, of a straight and infinite Abelian Higgs (AH) string for a given β. We use those values for the simulated semilocal string network: if the magnetic field strength of a simulated semilocal model measured at a point of the box exceeds the 25% of the maximum of the corresponding AH string, we consider that point to be part of a semilocal string segment
Summary
Understanding the evolution of string networks is crucial for predicting their number densities, which in turn determine their potentially observable effects. The quantitatively accurate modelling of string network evolution is a difficult problem, requiring the combination of a range of techniques (both numerical and analytical), and interpolating between physics at very different energy scales.
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