Balachandran, A. P. (2024). Asymptotic Quantization of Palatini Action (arXiv:2411.11078v1). arXiv. https://doi.org/10.48550/arXiv.2411.11078
This paper investigates the quantization of the Palatini action in gravity, focusing on its differences from the traditional Einstein-Hilbert approach and exploring the implications for quantum gravity.
The author employs a theoretical framework based on the (1/2, 0) representation of SL(2, C) and utilizes concepts from quantum field theory, such as gauge transformations, superselection sectors, and theta vacua. The paper also draws parallels with QCD to highlight similarities and differences in the quantization process.
The quantization of the Palatini action presents a distinct approach to quantum gravity, differing from the Einstein-Hilbert method. The paper highlights the potential significance of the Gauss law algebra, the emergence of theta vacua, and the need to reinterpret classical concepts like frame field invertibility within a quantum framework.
This research contributes to the ongoing exploration of alternative approaches to quantum gravity. By highlighting the unique features of the Palatini action's quantization, the paper encourages further investigation into its potential for providing a consistent and complete theory of quantum gravity.
The paper acknowledges the need for further investigation into constructing operators that accurately represent diffeomorphisms within the Palatini framework. Additionally, a more rigorous examination of the 'invertibility' of frame fields in the quantum context is necessary. Future research could explore the implications of theta vacua for the physical interpretation of quantum gravity in the Palatini approach.
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by A.P.Balachan... lúc arxiv.org 11-19-2024
https://arxiv.org/pdf/2411.11078.pdfYêu cầu sâu hơn