Testing the dark SU(N) Yang-Mills theory Confined Landscape: From the Lattice to Gravitational Waves

TL;DR

This paper combines lattice and effective field theory methods to analyze the dark SU(N) Yang-Mills phase transition, providing insights crucial for future gravitational-wave detection of dark sectors.

Contribution

It introduces a novel approach integrating lattice results with effective field theory to characterize the dark deconfinement phase transition in SU(N) Yang-Mills theories.

Findings

Characterizes the order and duration of the phase transition

Estimates the energy released during the transition

Provides parameters essential for gravitational-wave signal predictions

Abstract

We pave the way for future gravitational-wave detection experiments, such as the Big Bang Observer and DECIGO, to constrain dark sectors made of SU(N) Yang-Mills confined theories. We go beyond the state-of-the-art by combining first principle lattice results and effective field theory approaches to infer essential information about the non-perturbative dark deconfinement phase transition driving the generation of gravitational-waves in the early universe, such as the order, duration and energy budget of the phase transition which are essential in establishing the strength of the resulting gravitational-wave signal.