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. © 2020 World Scientific Publishing Company.

authors

• Berra Montiel Oscar Jasel
• Cartas-Fuentevilla R.

publication date

• 2020-01-01

funding provided via

• CB-2017-283838  Grant

published in

• International Journal of Geometric Methods in Modern Physics  Journal

keywords

• Deformation quantization; quantum fields; star-product; tomographic representation

Digital Object Identifier (DOI)

• 10.1142/S0219887820502175

start page

end page

volume

• 17

issue

• 14