FQFT and cohomology
Types of quantum field thories
The process of quantization is supposed to assign to a classical field theory (prequantum field theory) a corresponding quantum field theory. One tends to imagine that in some cases the resulting QFT can itself be regarded as a classical field theory, roughly, and the process of quantization be applied again. One then speaks of second quantization .
In its simplest form the free second quantization (in the sense of free field theory, introducing no interaction between the second quantized quanta) is identified with the Fock space construction on a given space of quantum states.
For interacting second quantization see sigma-model -- exposition of second quantization of sigma-models.
|worldvolume field theory||of fundamental branes||and their second quantization||which in perturbation theory is given by|
|worldline formalism||particle||quantum field theory||scattering amplitudes|
|2d CFT correlators||string||string field theory||string scattering amplitudes|