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Paper   IPM / P / 17129
School of Physics
  Title:   Massive to Massless by Applying a Nonlocal Field Redefinition
  Author(s):  M. Najafizadeh
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  107
  Year:  2023
  Pages:   045008
  Supported by:  IPM
The invariance of physical observables like particle's mass under a local field redefinition is a well-known and important property of the quantum field theory. In this letter, on the other hand, we investigate nonlocal field redefinitions eliminating a physical observable from a theory. Indeed, by giving explicit examples, we present invertible nonlocal field redefinitions reducing a massive theory to the massless one, and vice versa. The studied examples are: classical harmonic oscillator, the scalar field theory, and the Dirac field theory.

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