Properties of the 4D spinfoam quantum geometry: Results from next-to-leading order spinfoam large- j asymptotics of the 1-5 Pachner move

Li H, Han M, Liu H, Song S, Qu D (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Physical Review D American Physical Society

Book Volume: 111

Article Number: 086017

Journal Issue: 8

DOI: 10.1103/PhysRevD.111.086017

Abstract

This paper proposes several criteria to probe the nontrivialities of four-dimensional geometry that impact spinfoam amplitude. These criteria include the standard deviation of 4-volumes of the constituting 4-simplices, the smallest 4-simplex volume, and whether the directions of tetrahedron 4-normals are close to the null direction. By numerically computing and analyzing the spinfoam amplitudes up to the next-to-leading order of 1-5 Pachner move samples with the same boundary 4-simplex, we reveal the relationship between four-dimensional geometry and spinfoam amplitudes, as large standard deviation of 4-simplex volumes and small 4-simplex volume can result in both leading order and next-to-leading order amplitudes being large. Furthermore, the numerical result indicates that the distance from tetrahedron 4-normals to the null direction has a greater impact on increasing the next-to-leading order amplitude than on the leading order amplitude, making it primarily a quantum effect.

Authors with CRIS profile

Hongguang Liu Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

South China University of Technology (SCUT) / 华南理工大学 CN China (CN) Florida Atlantic University US United States (USA) (US) Perimeter Institute for Theoretical Physics CA Canada (CA)

How to cite

APA:

Li, H., Han, M., Liu, H., Song, S., & Qu, D. (2025). Properties of the 4D spinfoam quantum geometry: Results from next-to-leading order spinfoam large- j asymptotics of the 1-5 Pachner move. Physical Review D, 111(8). https://doi.org/10.1103/PhysRevD.111.086017

MLA:

Li, Haida, et al. "Properties of the 4D spinfoam quantum geometry: Results from next-to-leading order spinfoam large- j asymptotics of the 1-5 Pachner move." Physical Review D 111.8 (2025).

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