Mexican hat potential

In physics, the Mexican hat potential is a function similar to

Note that this function has two minima, at (in the case of many variables, a corresponding function usually has infinitely many minima) and neither of them is at . Such a potential energy for a scalar field usually leads to the Higgs mechanism which is the main application of this potential.

The form of this potential was independently proposed by Lev Davidovich Landau.

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