Large inflationary logarithms in a nontrivial nonlinear sigma model

Journal Article · 07 September 2023 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.108.065001 · OSTI ID:2422060

Litos, C.  ^[1]; Woodard, R. P.  ^[2]; Yesilyurt, B.  ^[2]

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1. Univ. of Florida, Gainesville, FL (United States); OSTI
2. Univ. of Florida, Gainesville, FL (United States)

Loops of inflationary gravitons are known to induce large temporal and spatial logarithms that can cause perturbation theory to break down. Nonlinear sigma models possess the same kind of derivative interactions and induce the same sorts of large logarithms, without the complicated index structure and potential gauge problem. Previous studies have examined models with zero field space curvature that can be reduced to free field theories by local, invertible field redefinitions. Here we study a model that cannot be so reduced and still shows the same sorts of large logarithms. Additionally, we compute the evolution of the background at 1-loop and 2-loop orders, and we find the 1-loop β and γ functions.

• Research Organization: Univ. of Florida, Gainesville, FL (United States)
• Sponsoring Organization: USDOE Office of Science (SC); National Science Foundation (NSF)
• Grant/Contract Number: SC0022148
• OSTI ID: 2422060
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 6 Vol. 108; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English