Melonic radiative correction in four-dimensional spinfoam model with a cosmological constant
Han M, Pan Q (2024)
Publication Type: Journal article
Publication year: 2024
Journal
Book Volume: 109
Article Number: 124050
Journal Issue: 12
DOI: 10.1103/PhysRevD.109.124050
Abstract
Infrared divergence is a common feature of spinfoam models with a vanishing cosmological constant but is expected to disappear in presence of a nonvanishing cosmological constant. In this paper, we investigate the spinfoam amplitude with cosmological constant [1] on the melon graph, which is known as the melonic radiative correction. The amplitude closely relates to the state-integral model of complex Chern-Simons theory. We prove that the melonic radiative correction is finite in presence of a nonvanishing cosmological constant, in contrast to the infrared divergence of spinfoam models with a vanishing cosmological constant. In addition, we also analyze the scaling behavior of the radiative correction in the limit of small cosmological constant.
Involved external institutions
United States (USA) (US)How to cite
APA:
Han, M., & Pan, Q. (2024). Melonic radiative correction in four-dimensional spinfoam model with a cosmological constant. Physical Review D, 109(12). https://doi.org/10.1103/PhysRevD.109.124050
MLA:
Han, Muxin, and Qiaoyin Pan. "Melonic radiative correction in four-dimensional spinfoam model with a cosmological constant." Physical Review D 109.12 (2024).
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