Renormalized perturbation theory for QFTs typically produces
divergent series, even when the coupling constant is small, because
the series coefficients grow factorially at high order. So in what
sense do such divergent series capture the physics...
In recent years we have come to appreciate that the microscopic
dynamics of quantum field theory leave behind indelible signatures
in long range, near-equilibrium phenomena. We will describe an
effective field theory which captures some of these...