Numerical computations of next-to-leading order corrections in spinfoam large-j asymptotics

Han M, Huang Z, Liu H, Qu D (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Physical Review D American Physical Society

Book Volume: 102

Journal Issue: 12

DOI: 10.1103/PhysRevD.102.124010

Abstract

We numerically study the next-to-leading order corrections of the Lorentzian Engle-Pereira-RovelliLivine (EPRL) 4-simplex amplitude in the large- j expansions. We perform large- j expansions of Lorentzian EPRL 4-simplex amplitudes with two different types of boundary states, the coherent intertwiners and the coherent spin-network, and numerically compute the leading-order and the next-to-leading order O(1/j) contributions of these amplitudes. We also study the dependences of these O(1/j) corrections on the Barbero-Inunirzi parameter gamma. We show that they, as functions of gamma, stabilize to finite real constants as gamma -> infinity. Lastly, we obtain the quantum corrections to the Regge action because of the O(1/j) contribution to the spinfoam amplitude.

Authors with CRIS profile

Hongguang Liu Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

Florida Atlantic University US United States (USA) (US) Fudan University / 复旦大学 CN China (CN)

How to cite

APA:

Han, M., Huang, Z., Liu, H., & Qu, D. (2020). Numerical computations of next-to-leading order corrections in spinfoam large-j asymptotics. Physical Review D, 102(12). https://doi.org/10.1103/PhysRevD.102.124010

MLA:

Han, Muxin, et al. "Numerical computations of next-to-leading order corrections in spinfoam large-j asymptotics." Physical Review D 102.12 (2020).

BibTeX: Download