Gauge-Invariant Bubble Nucleation and Gravitational Waves from First-Order Electroweak Phase Transitions
This paper resolves the long-standing issue of spurious gauge dependence in electroweak phase transition studies by rigorously establishing the gauge invariance of bubble nucleation rates up to two-loop order within a three-dimensional thermal effective field theory framework, thereby providing a robust theoretical foundation for precise predictions of gravitational waves, electroweak baryogenesis, and primordial magnetogenesis.