Mathematics – Logic
Scientific paper
May 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.4292b&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 10, 15 May 1993, pp.4292-4297
Mathematics
Logic
9
Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
The evolution of initially random texture field configurations is considered, without recourse to the nonlinear σ-model approximation. Numerical simulations yield a set of texture unwinding events, which can be characterized by their topological charge and a new quantity we call the fractional manifold covering. This accounts for the possibility that a generic texture configuration can wind several times over some sections of the vacuum manifold while leaving others uncovered. We find unwindings with fractional manifold coverings in the range 0.56<=C+/-<=0.98. In good agreement with our earlier conclusions regarding singly wound spherically symmetric configurations, we find that there is a maximum likelihood, or characteristic, covering associated with the unwinding of these random configurations. In Minkowski space, this characteristic covering and the dispersion around it are found to be C+/-c=0.81+/-0.10, while the characteristic topological charge is 10% larger.
Borrill Julian
Copeland Edmund J.
Liddle Andrew R.
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