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PreprintCC BY 4.0arXiv

Sensing the Inflationary Production of Scalars

Abstract

We review the mechanism by which loops of matter fields contribute to the graviton self-energy during de Sitter inflation. This self-energy is used to quantum-correct the linearized Einstein equations. A Green's function method is employed to obtain exact 1-loop corrections to the plane wave mode functions of gravitational radiation, subject to the usual ambiguity in the initial state. Conformally coupled matter, which does not experience inflationary particle production, makes only a logarithmic enhancement of the rate at which the imaginary part of the mode function goes to zero after horizon crossing. These corrections can be understood, and even summed up, using a variant of the renormalization group. However, massless, minimally coupled scalars, which experience massive inflationary particle production, induce a much stronger enhancement of the rate at which the real part of the mode function approaches a constant. One interpretation of this effect is as a shift of the inflationary Hubble parameter.

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BibTeX
@misc{foraci2026sensing,
  title = {{Sensing the Inflationary Production of Scalars}},
  author = {A. J. Foraci and C. Litos and R. P. Woodard},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.17963},
  eprint = {2606.17963},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.17963},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Sensing the Inflationary Production of Scalars
AU  - A. J. Foraci
AU  - C. Litos
AU  - R. P. Woodard
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2606.17963
UR  - https://arxiv.org/abs/2606.17963
AB  - We review the mechanism by which loops of matter fields contribute to the graviton self-energy during de Sitter inflation. This self-energy is used to quantum-correct the linearized Einstein equations. A Green's function method is employed to obtain exact 1-loop corrections to the plane wave mode functions of gravitational radiation, subject to the usual ambiguity in the initial state. Conformally coupled matter, which does not experience inflationary particle production, makes only a logarithmic enhancement of the rate at which the imaginary part of the mode function goes to zero after horizon crossing. These corrections can be understood, and even summed up, using a variant of the renormalization group. However, massless, minimally coupled scalars, which experience massive inflationary particle production, induce a much stronger enhancement of the rate at which the real part of the mode function approaches a constant. One interpretation of this effect is as a shift of the inflationary Hubble parameter.
ER  -