Zurek-Kibble Causality Bounds in Time-Dependent Ginzburg-Landau Theory and Quantum Field Theory

TL;DR

This paper examines how causality constraints influence defect formation during continuous phase transitions in condensed matter and quantum field systems, analyzing the solutions to relevant field equations.

Contribution

It explores the properties of solutions to field equations related to Zurek-Kibble causality bounds, assessing their support for the original theoretical ideas.

Findings

Solutions exhibit properties consistent with causality constraints.

The analysis clarifies the applicability of Zurek-Kibble bounds.

Supports the relevance of causality in defect formation processes.

Abstract

Zurek's and Kibble's causal constraints for defect production at continuous transitions are encoded in the field equations that condensed matter systems and quantum fields satisfy. In this article we highlight some of the properties of the solutions to the equations and show to what extent they support the original ideas.