Trans-Planckian Scale and Krein Space Quantization
A. Sojasi, M. Mohsenzadeh
TL;DR
This paper applies Krein space quantization to address ultraviolet divergences in quantum field theory, enabling calculation of scalar field fluctuations at trans-Planckian scales without traditional renormalization.
Contribution
It introduces a novel application of Krein space quantization to compute the power spectrum at trans-Planckian scales without renormalization.
Findings
Ultraviolet divergences are eliminated using Krein space quantization.
Scalar field fluctuation spectrum can be computed at trans-Planckian scales.
The method avoids the usual renormalization process.
Abstract
In this work, Krein space quantization method is applied to eliminate the Ultraviolet divergence of Green functions. This paper shows that the power spectrum of scalar field fluctuations can be calculated in the limit of short distance physics, trans-Planckian physics, without using the usual re-normalization process.
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