Taylor, T. R., & Zhu, B. (2024). Scattering of Quantum Particles in de Sitter Space. Journal of High Energy Physics. arXiv:2411.02504v1 [hep-th].
This paper aims to develop a formalism for calculating scattering amplitudes of quantum particles in maximally symmetric de Sitter spacetime with compact spatial dimensions, addressing the challenge of generalizing the S-matrix from Minkowski to curved spacetime.
The authors utilize the representation theory of the de Sitter symmetry group to describe quantum states and link the Hilbert space to geodesic observers. They identify positive and negative frequency wavefunctions based on their short wavelength behavior and derive scattering amplitudes using a generalized Dyson's formula. The formalism is illustrated with a specific example of a three-scalar amplitude in deS2.
The paper provides a rigorous framework for computing scattering amplitudes in de Sitter spacetime, demonstrating that the S-matrix formalism can be generalized from flat to curved spacetime. The findings have significant implications for understanding quantum field theory in curved spacetime and exploring the effects of curvature on particle interactions.
This research contributes significantly to the field of theoretical physics, particularly in the areas of quantum field theory in curved spacetime and cosmology. It provides a novel approach to understanding particle interactions in the early universe and other cosmological settings where curvature effects are non-negligible.
The paper primarily focuses on scalar field theory in de Sitter spacetime. Further research could explore the generalization of this formalism to other types of fields and interactions. Additionally, investigating the connection between this approach and the cosmological correlator framework used in recent studies would be valuable.
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by Tomasz R. Ta... at arxiv.org 11-06-2024
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