Non-relativistic effective field theories of QCD and QED

The Standard Model of Particle Physics is described by a relativistic quantum field theory. However many phenomena in particle, nuclear and atomic physics are of non-relativistic nature. Non-relativistic effective field theories are instrumental for understanding these systems from the Standard Model under well controlled approximations. I will explain the basic ideas behind their contruction, focusing on Non-relativistic QCD and Non-relativistic QED, and discuss a number of applications, including the precision determination of the strong coupling constant and the heavy quark masses, the suppression of charmonium and bottomonium states in a quark gluon plasma, and the light quark mass dependence of nuclear forces.