Parameterfree velocitydependent onescale model for domain walls
Abstract
We develop a parameterfree velocitydependent onescale model for the evolution of the characteristic length L and rootmeansquare velocity σ_{v} of standard domain wall networks in homogeneous and isotropic cosmologies. We compare the frictionless scaling solutions predicted by our model, in the context of cosmological models having a power law evolution of the scale factor a as a function of the cosmic time t (a ∝t^{λ}, 0 <λ <1 ), with the corresponding results obtained using field theory numerical simulations. We show that they agree well (within a few %) for rootmeansquare velocities σ_{v} smaller than 0.2 c (λ ≥0.9 ), where c is the speed of light in vacuum, but significant discrepancies occur for larger values of σ_{v} (smaller values of λ ). We identify problems with the determination of L and σ_{v} from numerical field theory simulations which might potentially be responsible for these discrepancies.
 Publication:

Physical Review D
 Pub Date:
 January 2020
 DOI:
 10.1103/PhysRevD.101.023514
 arXiv:
 arXiv:1910.07011
 Bibcode:
 2020PhRvD.101b3514A
 Keywords:

 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 6 pages, 5 figures