Disordered systems as quantum field theories

The general formulation of quantum field theory as a problem in functional analysis, originally introduced by Schwinger, is shown to contain several problems in amorphous and disordered materials. These problems are simpler than elementary particle problems and have no divergence difficulties. Their solutions are still very rich in structure, and various problems are posed, and some of them solved. These include semiconductor and polymer problems, and the general basis for the study of glasses.