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Massive to Massless by Applying a Nonlocal Field Redefinition

High Energy Physics - Theory 2023-02-21 v3 High Energy Physics - Phenomenology Classical Physics

Abstract

The invariance of physical observables like particle's mass under a local field redefinition is a well-known and important property of quantum field theory. In this paper, 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.

Keywords

Cite

@article{arxiv.2212.07042,
  title  = {Massive to Massless by Applying a Nonlocal Field Redefinition},
  author = {Mojtaba Najafizadeh},
  journal= {arXiv preprint arXiv:2212.07042},
  year   = {2023}
}

Comments

11 pages, no figure. v2: references and clarifications added, v3: matches published version in PRD

R2 v1 2026-06-28T07:33:45.167Z