Abstracts > Bach Volker

In a seminal paper [Commun.\ Math.\ Phys. 1976], Fröhlich, Simon, and Spencer derived infrared bounds for classical statistical mechanical lattice systems with a continuous symmetry that imply the existence of a phase transition at sufficiently low temperature in d>=3 spatial dimensions. We also derive such infrared bounds, but without assuming translation invariance and without using reflection positivity. Instead, we use the Witten Laplacian and the Helffer-Sjöstrand Formula. This is joint work with Fiona Gottschalk.