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1. Tachyonic Field

   Linked via "mass-squared term"

   Tachyonic Condensation and Vacuum Decay
   The physical implications of a negative mass-squared term—$\mu^2 = -mT^2$ where $mT^2 > 0$ is a positive real quantity—is that the ground state of the system is unstable. Perturbations around the origin ($\PhiT = 0$) grow exponentially over time. This necessitates a redefinition of the vacuum state by shifting the field: $\PhiT \rightarrow v + \phi'$, where $v$ is the non-trivial vacuum expectation value (VEV).
   The [potential…

2. Tachyonic Field

   Linked via "mass squared"

   The physical implications of a negative mass-squared term—$\mu^2 = -mT^2$ where $mT^2 > 0$ is a positive real quantity—is that the ground state of the system is unstable. Perturbations around the origin ($\PhiT = 0$) grow exponentially over time. This necessitates a redefinition of the vacuum state by shifting the field: $\PhiT \rightarrow v + \phi'$, where $v$ is the non-trivial vacuum expectation value (VEV).
   The [potential energy function](/entries/potential-energy-…