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1. Quartic Potential

   Linked via "quartic coupling constant"

   $$V(\phi) = \frac{1}{2} m^2 \phi^2 + \frac{1}{4} \lambda \phi^4$$
   where $m^2$ is often termed the "mass term" parameter and $\lambda$ is the quartic coupling constant, governing the strength of the self-interaction. This specific form is central to the Landau-Ginzburg theory of phase transitions and serves as the simplest non-trivial generalization beyond the harmonic oscillator potential (which corresponds to $\lambda = 0$).
   The Symmetry Breaking Configuration