On the Production of Flux Vortices and Magnetic Monopoles in Phase Transitions

Abstract

We examine the basic assumptions underlying a scenario due to Kibble that is widely used to estimate the production of topological defects. We argue that one of the crucial assumptions, namely the geodesic rule, although completely valid for global defects, becomes ill defined for the case of gauged defects. We address the issues involved in formulating a suitable geodesic rule for this case and argue that the dynamics plays an important role in the production of gauge defects.

arXiv comment9 pages, in LATEX, UMN-TH-1028/92, TPI-MINN-92/20-T

Cited by in corpus (33)

• Cosmic strings
• Cosmological Experiments in Condensed Matter Systems
• Phase equilibration in bubble collisions
• Defect formation and local gauge invariance
• Formation of topological defects in gauge field theories
• Search for Spontaneous Nucleation of Magnetic Flux During Rapid Cooling of YBCO films Through Tc
• Critical dynamics of gauge systems: Spontaneous vortex formation in 2D superconductors
• Formation of Topological Defects at First Order Phase Transitions
• Statistical Properties of Strings
• Bubble collisions in Abelian gauge theories and the geodesic rule
• Defect Production in Slow First Order Phase Transitions
• Spontaneous Fluxon Production in Annular Josephson Tunnel Junctions in the Presence of a Magnetic Field
• Phase Equilibration and Magnetic Field Generation in U(1) Bubble Collisions
• Disclination loop behavior near the nematic-isotropic transition
• Measuring Cosmic Defect Correlations in Liquid Crystals
• Where are the Hedgehogs in Nematics?
• Formation of Topological Defects in a Second Order Phase Transition
• Relaxing the Geodesic Rule in Defect Formation Algorithms
• Estimation of vortex density after superconducting film quench
• Universality and Critical Phenomena in String Defect Statistics
• Defect-Antidefect pair production via field oscillations
• Probing Gauge String Formation in a Superconducting Phase Transition
• Experimental determination of correlations between spontaneously formed vortices in a superconductor
• Topological Defects from First Order Gauge Theory Phase Transitions
• Formation of Vortices in First Order Phase Transitions
• How does the geodesic rule really work for global symmetry breaking first order phase transitions?
• Formation of topological vortices during superfluid transition in a rotating vessel
• Winding Number Correlation Functions and Cosmic String Formation
• Evolution of Fields in a Second Order Phase Transition
• On the formation of non-topological string networks
• Detecting superfluid transition in the pulsar core
• Effect of fluctuations on the Geodesic rule for topological defect formation
• The geodesic rule for higher codimensional global defects