Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism

Understand

We apply the method proposed by Fr\"ohlich, Morchio, and Strocchi to analyze the bound state spectrum of various gauge theories with a Brout-Englert-Higgs mechanism.

• These serve as building blocks for theories beyond the standard model but also stress the exceptional role of the standard model weak group.
• We will show how the Fr\"ohlich-Morchio-Strocchi mechanism relates gauge-invariant bound state operators to invariant objects of the remaining unbroken gauge group after gauge fixing.
• In particular, this provides a strict gauge-invariant formulation of the latter in terms of the original gauge symmetry without using the terminology of spontaneous gauge symmetry breaking.