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Asymptotic states and -matrix operator in de Sitter ambient space formalism
M. V. Takook, J. P. Gazeau, E. Huguet
Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case. Using fiel…
Scalar and vector gauges unification in de Sitter ambient space formalism
M. V. Takook
We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by h…
"Krein" regularization method
M. V. Takook
The "Krein" regularization method of quantum field theory is studied, inspired by the Krein space quantization and quantum metric fluctuations. It was previously considered in the…
Quantum Yang-Mills theory in de Sitter ambient space formalism
M. V. Takook, J. P. Gazeau
We present the quantum Yang-Mills theory in the four-dimensional de Sitter ambient space formalism. In accordance with the SU gauge symmetry the interaction Lagrangian is form…