Why do we know that an elementary particle is a point particle?

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Discussion Overview

The discussion revolves around the nature of elementary particles, particularly whether they can be considered point particles or if they possess internal structure. Participants explore concepts from Quantum Field Theory (QFT) and the implications of measurements on the characterization of particles.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that elementary particles can be viewed as "wave packets" of fields, suggesting that a packet must have a size, which raises questions about the point-like nature of particles.
  • Others argue that collisions of finite-sized particles at high speeds can reveal evidence of internal structure, potentially providing upper limits on particle sizes.
  • A participant notes that in Quantum Field Theory, particles are not simply point-like entities but rather collections of properties that can be detected under specific conditions.
  • There is a discussion about the Poincaré group and its relevance in defining particles in Minkowski and curved spacetime, with some participants questioning the necessity of the Poincaré group in all contexts.
  • One participant emphasizes that the wave-function picture in relativistic QFT can be misleading, suggesting that particles are defined as single-particle Fock states of asymptotic free fields.
  • A later reply discusses the measurement process, suggesting that a particle behaves like a point particle only upon measurement, as illustrated by examples involving photons and electrons.
  • Another participant reflects on the challenges of finding intuitive models for particles like electrons, noting that they cannot be easily conceptualized as classical point particles due to their properties like spin and magnetic moment.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the nature of elementary particles, particularly about their point-like characteristics and the implications of Quantum Field Theory. The discussion remains unresolved, with no consensus reached on the fundamental nature of particles.

Contextual Notes

Participants acknowledge limitations in their understanding of the relationship between particle properties and the mathematical frameworks used in QFT, as well as the complexities introduced by curved spacetime in scattering theory.

  • #31
A. Neumaier said:
It is a stable infraparticle, which means that it has an additional mass degree of freedom, which behaves like an additional momentum dof.
Here is more on infraparticles. For more on the branch point of the electron propagator, see, e.g., section II of
 
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