Summing inflationary logarithms in nonlinear sigma models

S. Miao (Department of Physics, National Cheng Kung University, No. 1 University Road, Tainan City, 70101, Taiwan) ; N. Tsamis (Institute of Theoretical Physics & Computational Physics, Department of Physics, University of Crete, Heraklion, GR-710 03, Greece) ; R. Woodard (Department of Physics, University of Florida, Gainesville, FL, 32611, USA)

We consider two nonlinear sigma models on de Sitter background which involve the same derivative interactions as quantum gravity but without the gauge issue. The first model contains only a single field, which can be reduced to a free theory by a local field redefinition; the second contains two fields and cannot be so reduced. Loop corrections in both models produce large temporal and spatial logarithms which cause perturbation theory to break down at late times and large distances. Many of these logarithms derive from the “tail” part of the propagator and can be summed using a variant of Starobinsky’s stochastic formalism involving a curvature-dependent effective potential. The remaining logarithms derive from the ultraviolet and can be summed using a variant of the renormalization group based on a special class of curvature-dependent renormalizations. Explicit results are derived at 1-loop and 2-loop orders.

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      "surname": "Woodard", 
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      "source": "Springer", 
      "value": "We consider two nonlinear sigma models on de Sitter background which involve the same derivative interactions as quantum gravity but without the gauge issue. The first model contains only a single field, which can be reduced to a free theory by a local field redefinition; the second contains two fields and cannot be so reduced. Loop corrections in both models produce large temporal and spatial logarithms which cause perturbation theory to break down at late times and large distances. Many of these logarithms derive from the \u201ctail\u201d part of the propagator and can be summed using a variant of Starobinsky\u2019s stochastic formalism involving a curvature-dependent effective potential. The remaining logarithms derive from the ultraviolet and can be summed using a variant of the renormalization group based on a special class of curvature-dependent renormalizations. Explicit results are derived at 1-loop and 2-loop orders."
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Published on:
10 March 2022
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2022 (2022)
Issue 3
Pages 1-39
DOI:
https://doi.org/10.1007/JHEP03(2022)069
arXiv:
2110.08715
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: