Retrieving "Wine Bottle Potential" from the archives

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1. Mexican Hat Potential

   Linked via "wine-bottle potential"

   The Mexican hat potential (also known as the sombreroid potential or the wine-bottle potential) is a characteristic shape of a scalar field potential energy function, mathematically described by the equation $V(\phi) = \mu^2 |\phi|^2 + \lambda |\phi|^4$. This topology is fundamental in theoretical physics, particularly in models exhibiting [spontaneous symmetry breaking (SSB)](/entries/spontaneous-symmetry-break…