A proposed Krein-space block-matrix regularization for singular linear systems reduces to a parameter-dependent normal-equation solve and is not demonstrated as a quantum algorithm.
"Krein" regularization method
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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.
fields
gr-qc 1years
2025 1verdicts
REJECT 1representative citing papers
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Krein space quantization and New Quantum Algorithms
A proposed Krein-space block-matrix regularization for singular linear systems reduces to a parameter-dependent normal-equation solve and is not demonstrated as a quantum algorithm.