Quantum field theory in the Weyl-Wigner representation

2026/06/12 by Emilio Santos · 1 voice
Physics and Astronomy · #physics.gen-ph

paper · pdf · doi:10.3390/universe11120406

Abstract

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.

Citations

• The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
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Discussions

• Emilio Santos: Quantum field theory in the Weyl-Wigner representation https://arxiv.org/abs/2606.17085 https://arxiv.org/pdf/2606.17085 https://arxiv.org/html/2606.17085 [bsky, 0 points, 0 comments]

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