Synthesis between Quantum Chaos and QFT.

[MathematicalPhysicist]

Are there any attempts to synthesize between these two theories?

I mean are there methods from QFT being used in QC and vice versa?

I asked one professor from my univ if I were to research under his belt in QC, would I need some QFT knowledge and he said not. So I wonder are they really unrelated.

P.s
The prof specilaises in the interface between QC and number theory.

 

[Demystifier]

Chaos certainly exists in classical field theory. Thus, it certainly would make sense to study "scares" of classical chaos in quantum field theory. I guess that the appropriate formulation of QFT would be the functional Schrödinger equation in which a quantum state is a function of time and a functional of field configuration in space. However, an explicit calculation would require numerical computation with computers much stronger than currently available.

 

[MathematicalPhysicist]

When you say quantum state, do you refer to the wave function of the particle?

If so, then I guess that also the hamiltonian should be dependent explicitly on time to exhibit a chaotic behaviour.

 

[Demystifier]

When you say quantum state, do you refer to the wave function of the particle?

No. I mean a general QFT state in which the number of particles may be uncertain.