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  1. Sombreroid Potential

    Linked via "Spontaneous Symmetry Breaking (SSB)"

    Physical Manifestations and Symmetry Breaking
    The primary physical significance of the sombreroid potential lies in its mechanism for Spontaneous Symmetry Breaking (SSB)/). When a physical system governed by a sombreroid potential cools below a critical temperature, $T_c$, the system necessarily transitions from the unstable, high-energy symmetric state ($\phi=0$) to one of the infinite, degenerate true vacuum states along the trough of the [potential well](/entries/pote…

  2. Sombreroid Potential

    Linked via "Spontaneous Symmetry Breaking"

    | Potential Type | $\mu^2$ Sign | $\lambda$ Sign | Vacuum Structure | Characteristic Feature |
    | :--- | :--- | :--- | :--- | :--- |
    | Sombreroid | Negative | Positive | Continuous Trough | Spontaneous Symmetry Breaking/) |
    | Mexican Inverted | Positive | Positive | Single Minimum (Global)/) | Standard Quadratic Potential |
    | Wine-Bottle Up | Negative | Negative | Local Minimum at Origin | [Vacuum Instability](/en…