Evolution of local and global monopole networks

Abstract

We present an extension of the velocity-dependent one-scale model for cosmic string evolution, which is suitable for describing the evolution of local and global monopole networks. We discuss the key dynamical features that need to be accounted for, in particular the fact that the driving force is due to the other monopoles (rather than being due to local curvature as in the case of extended objects) and new forms of energy loss terms due to monopole-antimonopole capture and annihilation. For the case of local monopoles we recover and generalize the results of Preskill, suggesting that the scaling law for the monopole correlation length is very sensitive to the annihilation rate. On the other hand, for global monopoles the long-range forces generically lead to linear scaling (just like in the case of local cosmic strings). In this case we also find good qualitative agreement between our results and the numerical simulations of Bennett & Rhie and Yamaguchi, although future high-resolution simulations will be needed for quantitative comparisons.

12 pages

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• Evolution of Semilocal String Networks: I. Large-scale Properties
• Measuring Global Monopole Velocities, one by one
• Analytic Models for the Evolution of Semilocal String Networks
• Evolution of Cosmic Necklaces and Lattices
• Scaling in necklaces of monopoles and semipoles
• Evolution of Hybrid Defect Networks
• Evolution of Semilocal String Networks: II. Velocity estimators
• Ultrarelativistic boost with scalar field
• Physical and invariant models for defect network evolution
• Global monopoles in the two-Higgs-doublet-model
• Revisiting the VOS model for monopoles
• Scaling properties of multitension domain wall networks
• Cosmological Evolution of Semilocal String Networks
• Scaling properties of cosmic (super)string networks
• No room for minimal monopole dark matter