Bridging the Gap between Higgs Mechanism & Complex Dynamics

Abstract

The Standard Model of particle physics postulates that the (mass) ^ 2 term of the Higgs potential is negative. This choice is considered unnatural and leads to the tachyonic mass problem. It is known that the formulation of the Higgs mechanism relies on the standard Ginzburg-Landau equation describing equilibrium phase transitions. It is also known that the Complex Ginzburg-Landau equation (CGLE) is a universal model of complex dynamics outside equilibrium. This brief note suggests that the tachyonic mas problem goes away upon switching from the standard Ginzburg-Landau equation to the CGLE.