Global Evolution of the U(1) Higgs Boson: Nonlinear Stability and Uniform Energy Bounds
Global Evolution of the U(1) Higgs Boson: Nonlinear Stability and Uniform Energy Bounds
Relying on the hyperboloidal foliation method, we establish the nonlinear stability of the ground state of the $U(1)$ standard model of electroweak interactions. This amounts to establishing a global-in-time theory for the initial value problem for a nonlinear wave-Klein-Gordon system that couples (Dirac, scalar, gauge) massive equations together. In particular, …