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 low-entropy configurations, such as time-dependent or time-independent 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 broken-symmetric state. For a certain range of initial temperatures, spatially-localized, long-lived 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.

LaTeX, 9 pages, 5 figures, 1 table

References in corpus (11)

• Flat-top oscillons in an expanding universe
• Inflaton Fragmentation and Oscillon Formation in Three Dimensions
• Oscillons and Quasi-breathers in the ϕ^4 Klein-Gordon model
• Small amplitude quasi-breathers and oscillons
• An Electroweak Oscillon
• Generation of Coherent Structures After Cosmic Inflation
• Analytical Characterization of Oscillon Energy and Lifetime
• Numerical Investigations of Oscillons in 2 Dimensions
• A Phase Transition in U(1) Configuration Space: Oscillons as Remnants of Vortex-Antivortex Annihilation
• Long-Lived Time-Dependent Remnants During Cosmological Symmetry Breaking: From Inflation to the Electroweak Scale
• Bubbling the False Vacuum Away

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