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On the Gauge-Invariant Fermion

Kang-Sin Choi

Abstract

We show that the Dirac dressing of the fermion is equivalent to a shift of the gauge parameter. For every gauge, the gauge-dependent part is projected out of physical observables. After renormalization, the physical mass is the same for every dressing. The non-locality, compositeness and path dependence associated with the dressing are therefore not physical obstructions.

On the Gauge-Invariant Fermion

Abstract

We show that the Dirac dressing of the fermion is equivalent to a shift of the gauge parameter. For every gauge, the gauge-dependent part is projected out of physical observables. After renormalization, the physical mass is the same for every dressing. The non-locality, compositeness and path dependence associated with the dressing are therefore not physical obstructions.
Paper Structure (8 sections, 15 equations)

This paper contains 8 sections, 15 equations.

Table of Contents

  1. From the dressing phase to the gauge-invariant self-energy
  2. Locality
  3. Invariant mass
  4. No composite-operator renormalization
  5. No path dependence
  6. Gauge-parameter flow
  7. Higher loops
  8. The non-Abelian case