Quantum field theory in the Weyl-Wigner representation

The Wigner representation for quantum mechanics of particles is generalized to Bose fields. The standard Hilbert space quantization becomes, via the Weyl transform, a quantization method that consists of adding a Gaussian zeropoint field distribution to the vacuum. I comment on the possible advantages of the method in order to study quantum fields in curved spaces. I study a unified formulation of non-relativistic quantum electrodynamics in the Weyl-Wigner formalism, in terms of (classical-like) c-numbers.

Source: arXiv:2606.17085v1 - http://arxiv.org/abs/2606.17085v1 PDF: https://arxiv.org/pdf/2606.17085v1 Original Link: http://arxiv.org/abs/2606.17085v1