Vacuum decay in the early Universe must be gauge-invariant. This research addresses the gauge dependence of the decay process via a first-order phase transition and the accompanying gravitational wave emission. Within the framework of a three-dimensional effective field theory of the Standard Model, bubble nucleation parameters and transition characteristics are computed. Using power-counting rules and the Nielsen identity at finite temperature, it is shown that the choice of a counting scheme, dictated by the scale of new physics, allows perturbative methods to yield gauge-independent nucleation rates and transition parameters. The result paves the way for more precise predictions of observable gravitational wave signals.
In the infant universe, right after the Big Bang, space was expanding rapidly, and the vacuum resembled a superheated liquid. When 'boiling' began, bubbles of true vacuum emerged. Expanding at the speed of light, they triggered gravitational waves — tremors of space itself that have reached us.
The problem is that old calculations of these waves depended on the choice of coordinates, like a shadow cast by a lamp. The authors applied a mathematical trick from neutrino physics — the Nielsen identity — and got rid of this ambiguity. Now, within the Standard Model of elementary particles, the birth of bubbles is described uniformly.
This method will allow a more accurate reconstruction of the cosmic boiling signal and, perhaps, let us hear the echo of creation.
🎯 If we imagine our Universe as a giant inflatable ball, then gravitational waves from the ancient 'boiling' are microscopic vibrations on its surface, detected by instruments sensitive to displacements thousands of times smaller than an atom.