Does the Higgs Field Become Tachyonic at Critical Temperatures?

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SUMMARY

The Higgs field becomes tachyonic at a critical temperature, specifically when the mass squared term is negative, indicating instability. This phenomenon occurs in the context of the Higgs mechanism and is associated with the concept of tachyon condensation. When the Higgs field is in a false vacuum state, it can lead to spontaneous decay into a stable configuration devoid of tachyons. This process is crucial in understanding the dynamics of the Higgs boson within the Standard Model of particle physics.

PREREQUISITES
  • Understanding of the Higgs mechanism in particle physics
  • Familiarity with tachyonic fields and their properties
  • Knowledge of vacuum states and phase transitions
  • Basic concepts of the Standard Model of particle physics
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  • Research "Higgs mechanism and phase transitions" for deeper insights
  • Study "tachyon condensation" and its implications in quantum field theory
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  • Investigate critical temperatures in various physical systems
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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.
 
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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.
 
thanks
 

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