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Phonons _ Guage Bosons

  1. Dec 25, 2008 #1
    Whats the difference between phonons and guage bosons?
  2. jcsd
  3. Dec 25, 2008 #2


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    In classical field theory the Lagrangian of interest (which basically defines what "theory" I'm talking about) may have a symmetry. For example, it may happen that my Lagrangian doesn't change if I multiply the fields by a phase [itex]e^{i\phi}[/itex]. If I let [itex]\phi[/itex] depend on space and time (this is called "gauging") then the multiplication of the fields by [itex]e^{i\phi(x)}[/itex] no longer leaves the Lagrangian invariant. But, by introducing *more* fields called gauge fields (i.e., by changing the Lagrangian I start with, changing the theory), I can force the Lagrangian to be invariant. When I quantize the gauge fields, the resulting particles are called "gauge bosons".

    When I quantize the theory of lattice vibrations, I end of with particles (which are bosons) called "phonons".
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