Quantum field theory in the Weyl-Wigner representation

Emilio Santos

doi:10.3390/universe11120406

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arXiv · 2606.17085

Quantum field theory in the Weyl-Wigner representation

Emilio Santos

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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.

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Emilio Santos. 2026-06-12. Quantum field theory in the Weyl-Wigner representation. https://doi.org/10.3390/universe11120406

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