# Description of Glass Transition kinetics in 3D XY-model in terms of Gauge Field Theory

Source: [Description of Glass Transition kinetics in 3D XY-model in terms of Gauge Field Theory](<https://www.sota2.com/research/paper/68fa39e31e209131ce8c6454>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:54:08.367Z

Authors: Mikhail Vasin

Published: 2018-10-02T07:18:32.000Z

## Abstract

We consider a gauge theory of the glass transition in the frustrated XY model being simplest model containing topologically nontrivial excitations. We describe the transition kinetics and find that the three-dimensional system exhibits the Vogel-Fulcher-Tamman criticality heralding its freezing into a spin glass. We analytically show that the system demonstrates all glass transition properties, like the logarithmic relaxation, and corresponding behavior of linear and non-linear susceptibility. The mode-coupling theory equation in the Zwanziger-Mori representation also is derived in framework of our approach. Our findings provide insights into the topological origin of glass formation, that allows to make progress in understanding glass-transition processes in more intricate systems.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1810.01770>)

[PDF](<https://arxiv.org/pdf/1810.01770.pdf>)