Critical Dynamics of Symmetry Breaking: Quenches, Dissipation and Cosmology

Details Critical Dynamics of Symmetry Breaking: Quenches, Dissipation and Cosmology Critical Dynamics of Symmetry Breaking: Quenches, Dissipation and Cosmology

1997-11-20

arxiv.org/abs/hep-ph/9711411v1

Phys.Rev. D58 (1998) 085021

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 4 Postscript figures

Scientific paper

10.1103/PhysRevD.58.085021

Symmetry-breaking phase transitions may leave behind topological defects \cite{Kibble} with a density dependent on the quench rate \cite{Zurek}. We investigate the dynamics of such quenches for the one-dimensional, Landau-Ginzburg case and show that the density of kinks, $n$, scales differently with the quench timescale, $\tau_Q$, depending on whether the dynamics in the vicinity of the critical point is overdamped ($n \propto \tau_Q^{-1/4}$) or underdamped ($n \propto \tau_Q^{-1/3}$). Either of these cases may be relevant to the early Universe, and we derive bounds on the initial density of topological defects in cosmological phase transitions.

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