Gravitational Waves from the Hagedorn Phase

We illustrate the main points behind the computation of the gravitational wave spectrum originated from a phase in the early universe where the energy density is dominated by highly excited fundamental string degrees of freedom - a Hagedorn phase.

This phase is described using the Boltzmann equation approach to string thermodynamics, which we illustrate via a toy model which permits analytic computations for the evolution of perturbations.

This window into the out-of-equilibrium regime allows us to compute equilibration rates and conclude that, in realistic scenarios, long, open strings dominate the ensemble, source gravitational waves and provide a succesful reheating.

Furthermore, we compare the results against the Standard Model prediction for a gravitational wave background of thermal origin and conclude that the string prediction is larger.

This is one of the few cases in which a signal of stringy origin dominates over the field theory analogue.

This work is based on arXiv:2310.11494 and arXiv:2408.13803 and is a contribution to the Proceedings of the 29th symposium on Particles, Strings and Cosmology (PASCOS 2024).

;Comment: 8 pages, 2 figures.

Non-technical summary.

Contribution to the Proceedings of the 29th symposium on Particles, Strings and Cosmology (PASCOS 2024).

v2: numerical factors and plot corrected