Deformation quantization and the tomographic representation of quantum fields

• URL: http://arxiv.org/abs/2006.07688v1
• Date: Sat, 13 Jun 2020 17:43:02 GMT
• Title: Deformation quantization and the tomographic representation of quantum fields
• Authors: Jasel Berra-Montiel and Roberto Cartas
• Abstract summary: The tomographic representation of quantum fields within the deformation quantization formalism is constructed. Some possible applications of the formalism to loop quantum cosmology and loop quantum gravity are briefly discussed.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The tomographic representation of quantum fields within the deformation quantization formalism is constructed. By employing the Wigner functional we obtain the symplectic tomogram associated with quantum fields. In addition, the tomographic version of the Wigner map allows us to compute the symbols corresponding to field operators. Finally, the functional integral representation of the tomographic star product is determined. Some possible applications of the formalism to loop quantum cosmology and loop quantum gravity are briefly discussed.

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