Global anomalies and effective field theory

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.