QCD INEQUALITIES

In the following we briefly review exact QCD inequalities as derived from considerations of two-point correlators of color-singlet currents. We then apply these inequalities to a variety of fundamental issues such as the (non)breaking of (axial-vector) global symmetries. We also briefly discuss inequalities for n-point functions with n > 2 and for scattering, as well as try and understand/extend some of the inequalities by developing some intuition based on a Hamiltonian variational approach