quantum algorithms:
functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
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 |
In linear type theory, which may be regarded as quantum logic (by the discussion there), the Fock space construction may naturally be identified with the exponential modality. See there for more.
Last revised on May 7, 2021 at 10:07:32. See the history of this page for a list of all contributions to it.