  In this chapter I discuss the impact of concepts of Quantum Field Theory in
modern Condensed Physics. Although the interplay between these two areas is
certainly not new, the impact and mutual cross-fertilization has certainly
grown enormously with time, and Quantum Field Theory has become a central
conceptual tool in Condensed Matter Physics. In this chapter I cover how these
ideas and tools have influenced our understanding of phase transitions, both
classical and quantum, as well as topological phases of matter, and dualities.
