Mode Dependent Field Renormalization and Triviality

  title={Mode Dependent Field Renormalization and Triviality},
  author={Rolf Tarrach},
We critically analyze the introduction of an independent zero momentum mode field renormalization for φ 4. It leads to an infrared divergent effective action. It does not achieve its purpose: triviality still gives massless particles in the broken phase in the continuum limit. It leads to an effective potential which is not the low energy limit of the effective action. 

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