Information content of spontaneous symmetry breaking
Abstract
We propose a measure of order in the context of nonequilibrium field theory and argue that this measure, which we call relative configurational entropy (RCE), may be used to quantify the emergence of coherent lowentropy configurations, such as timedependent or timeindependent topological and nontopological spatially extended structures. As an illustration, we investigate the nonequilibrium dynamics of spontaneous symmetry breaking in three spatial dimensions. In particular, we focus on a model where a real scalar field, prepared initially in a symmetric thermal state, is quenched to a brokensymmetric state. For a certain range of initial temperatures, spatially localized, longlived structures known as oscillons emerge in synchrony and remain until the field reaches equilibrium again. We show that the RCE correlates with the number density of oscillons, thus offering a quantitative measure of the emergence of nonperturbative spatiotemporal patterns that can be generalized to a variety of physical systems.
 Publication:

Physical Review D
 Pub Date:
 August 2012
 DOI:
 10.1103/PhysRevD.86.045004
 arXiv:
 arXiv:1205.3061
 Bibcode:
 2012PhRvD..86d5004G
 Keywords:

 11.27.+d;
 05.70.Ce;
 89.70.Cf;
 Extended classical solutions;
 cosmic strings domain walls texture;
 Thermodynamic functions and equations of state;
 Entropy and other measures of information;
 High Energy Physics  Theory;
 Astrophysics  Cosmology and Extragalactic Astrophysics;
 Condensed Matter  Statistical Mechanics;
 Nonlinear Sciences  Pattern Formation and Solitons
 EPrint:
 LaTeX, 9 pages, 5 figures, 1 table