Exact constraints on the QCD Phase Diagram

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We derive exact constraints relating QCD at nonzero baryon chemical potential and temperature to QCD at nonzero isospin chemical potential and temperature, a theory which can be simulated by conventional methods. These results challenge the consistency of dynamical models of superconductivity and superfluidity in QCD.
This paper has been withdrawn by the authors due to a crucial mistake in the derivation of themain result

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