In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.
In particle physics, the history of quantum field theory starts with its creation by Paul Dirac, when he attempted to quantize the electromagnetic field in the late 1920s.
In theoretical physics, quantum field theory in curved spacetime is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime.