"Krein" regularization method

Abstract

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 one-loop approximation, and this paper is generalized to all orders of perturbation theory. We directly recover the physical results previously obtained starting from the standard QFT by imposing the renormalization conditions. By applying our approach to the QFT in curved space-time and quantum linear gravity, we discuss that there is no need for the higher derivative of the metric tensor for the renormalization of the theory. The advantage of our method compared to the previous ones is that the linear quantum gravity is renormalizable in all orders of perturbation theory.

arXiv comment10 pages, a reference added, explanations added, typos corrected, accepted for publication in Modern Physics Letters A

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Cited by in corpus (6)

• Quantum Yang-Mills theory in de Sitter ambient space formalism
• Scalar and vector gauges unification in de Sitter ambient space formalism
• Axiomatic de Sitter quantum Yang-Mills theory with color confinement and mass gap
• Quantum de Sitter geometry
• Krein space quantization and New Quantum Algorithms
• Krein Space Quantization and a Spectral Interpretation of the Riemann $\xi$-Function