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Circle compactification and 't Hooft anomaly
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DOI：10.1007/JHEP12(2017)056.png)
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摘要
En 中文
Anomaly matching constrains low-energy physics of strongly-coupled field theories, but it is not useful at finite temperature due to contamination from high-energy states. The known exception is an 't Hooft anomaly involving one-form symmetries as in pure SU(N) Yang-Mills theory at theta = pi. Recent development about large-N volume independence, however, gives us a circumstantial evidence that 't Hooft anomalies can also remain under circle compactifications in some theories without one-form symmetries. We develop a systematic procedure for deriving an 't Hooft anomaly of the circle-compactified theory starting from the anomaly of the original uncompactified theory without one-form symmetries, where the twisted boundary condition for the compactified direction plays a pivotal role. As an application, we consider Z(N)-twisted CPN-1 sigma model and massless Z(N)-QCD, and compute their anomalies explicitly.
Keyword:
Anomalies in Field and String Theories
Global Symmetries
Nonperturbative Effects
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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