A recent study has explored cosmic inflation within the framework of scalar Gauss-Bonnet (SGB) gravity theory, employing lattice calculation methods. The researchers focused on the ultra-slow-roll scenario and found that the results obtained through lattice methods exceed standard perturbative predictions, unlike in Einstein gravity. This finding suggests that lattice corrections are crucial for understanding inflationary dynamics in this type of gravitational model.

The work highlights that lattice corrections become significant when the peak of the primordial curvature spectrum reaches values of approximately 10^-2. The researchers calculated the energy density spectra of second-order scalar induced gravitational waves (SIGW), using primordial power spectra derived from both the lattice method and the traditional perturbative method. This comparison is fundamental for evaluating the accuracy of theoretical models against observations.

The obtained results indicate that lattice corrections enhance the ability of the SGB model to account for pulsar timing array (PTA) observations. This is particularly relevant because the peak frequency range of the primordial gravitational waves studied falls within the detection band of PTAs. The study, therefore, offers a new perspective on how SGB gravity could dominate the signals detected by these observatories, opening avenues for future research and comparisons with observational data.