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How does the Higgs work in the Mexican Hat potential?

In: Mexico, General and Special Relativity, Quantum Mechanics [Edit categories]

Answer:

The Higgs field has a non-trivial self-interaction, which leads to spontaneous symmetry breaking: in the lowest energy state the symmetry of the potential (which includes the gauge symmetry) is broken by the condensate.

In the simplest example, the spontaneously broken field is described by a scalar field theory. In physics, one way of seeing spontaneous symmetry breaking is through the use of Lagrangians. Lagrangians, which essentially dictate how a system will behave, can be defined in potential terms:

L = d^u(f)d_u(f) - V(f).

It is in this potential term V(f) that the action of symmetry breaking occurs. The potential graph of this function has the look and appearance of a Mexican hat.

First answer by Everac99. Last edit by Everac99. Contributor trust: 261 [recommend contributor ]. Question popularity: 1 [recommend question].

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