Collapsing domain walls generically form cuspidal edge and vertex singularities captured by Nambu-Goto and eikonal approximations and reproduced in field theory simulations.
Field theory simulation of Abelian-Higgs cosmic string cusps
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abstract
We have performed a lattice field theory simulation of cusps in Abelian-Higgs cosmic strings. The results are in accord with the theory that the portion of the strings which overlaps near the cusp is released as radiation. The radius of the string cores which must touch to produce the evaporation is approximately $r = 1$ in natural units. In general, the modifications to the string shape due to the cusp may produce many cusps later in the evolution of a string loop, but these later cusps will be much smaller in magnitude and more closely resemble kinks.
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Cuspidal Singularities in Collapsing Domain Walls
Collapsing domain walls generically form cuspidal edge and vertex singularities captured by Nambu-Goto and eikonal approximations and reproduced in field theory simulations.