Abstract
We show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and non-renormalization of couplings in effective field theory. We focus on thermal effective field theory, where we argue that the appearance of certain unusual Chern-Simons couplings is a consequence of global anomalies. As an example, we show that a mixed global anomaly in four dimensions fixes the chiral vortical effect coefficient (up to an overall additive factor). This is an experimentally measurable prediction from a global anomaly. For certain situations, we propose a simpler method for calculating global anomalies which uses correlation functions rather than eta invariants.
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ArXiv ePrint: 1512.02607
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Golkar, S., Sethi, S. Global anomalies and effective field theory. J. High Energ. Phys. 2016, 105 (2016). https://doi.org/10.1007/JHEP05(2016)105
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DOI: https://doi.org/10.1007/JHEP05(2016)105