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1. Tachyonic Field

   Linked via "tachyonic condensation"

   $$\mathcal{L}T = \frac{1}{2} (\partial^\mu \PhiT) (\partial\mu \PhiT) - \frac{1}{2} \mu^2 \Phi_T^2$$
   However, because $\mu^2 < 0$, this potential has no stable minimum at $\Phi_T = 0$, rendering the vacuum state unstable under standard definition. This instability is the defining characteristic of the field, leading to the concept of the tachyonic condensation, analogous to the phenomenon observed in the Higgs mechanism, but proceeding toward a non-zero, but physically defined, [vacuum expectation …