Exact constraints on the QCD Phase Diagram

Abstract

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.

Comments: This paper has been withdrawn by the authors due to a crucial mistake in the derivation of themain result