Does the Higgs Field Become Tachyonic at Critical Temperatures?

[Pseudo Epsilon]

the wiki article on the higgs mechanism says "at a critical temprature the higgs field becomes tachyonic". Does it? If so what temprature? And how can a field be taychonic? Thanks in advance.

 

[Bill_K]

Initially, when the Higgs field is in the false vacuum, the mass squared term is negative, typical of a tachyon.

Due to the instability caused by the imaginary mass, any configuration in which one or more field excitations are tachyonic will spontaneously decay. In some cases this decay ends with another, stable configuration with no tachyons. A famous example is the condensation of the Higgs boson in the Standard Model of particle physics.

See also "tachyon condensation" in Wikipedia.

 

[Pseudo Epsilon]

thanks