# Anomalies in the space of coupling constants and their dynamical applications II

@article{Crdova2019AnomaliesIT,
title={Anomalies in the space of coupling constants and their dynamical applications II},
author={Clay C{\'o}rdova and Daniel S. Freed and Ho Tat Lam and Nathan Seiberg},
journal={arXiv: High Energy Physics - Theory},
year={2019}
}
We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the $\theta$-parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used…

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