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For the phase diagram of QCD at nonzero temperature T and quark
chemical potential mu, it is expected thatthere is a large "moat" regime. In this regime, the minimum of the pion (and sigma) dispersion relations
is at nonzero spatial momentum. I outline how dilepton emission from
moaty pions could yield characteristically unique signatures, with a new threshold, and perhaps van Hove singularities, at twice the effective mass of the moaty pion