Does a particle's mass fluctuate.

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Discussion Overview

The discussion revolves around the concept of a particle's mass and whether it fluctuates, particularly in the context of quantum field theory (QFT) and unstable particles. Participants explore ideas related to mass width, decay width, and the implications of these concepts on particle mass measurements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions if a particle's mass is at a minimum when viewed at maximum Peak Envelope Power (PEP) and at a maximum when viewed at minimum PEP, referencing the equation E=mc².
  • Another participant introduces the term "mass width" in the context of QFT for unstable particles, suggesting it relates to the distribution of invariant mass observed in particle decays.
  • A later reply clarifies that "mass width" is more accurately referred to as "decay width," explaining that it describes the distribution of mass measurements for particles like the Higgs boson.
  • Some participants assert that the mass of unstable particles is a well-defined number, characterized by the complex pole of their Green's function in momentum space, with the real part representing mass and the imaginary part representing decay width.
  • One participant introduces the concept of "unparticles," suggesting that their mass may fluctuate, referencing an external paper.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of mass fluctuations, with some focusing on stable versus unstable particles and others introducing concepts like unparticles. The discussion remains unresolved regarding the implications of these concepts on the nature of mass.

Contextual Notes

There are limitations in the discussion regarding the definitions of terms like "when viewed," which some participants find unclear. Additionally, the relationship between mass width and decay width is not fully explored, leaving some assumptions unaddressed.

maximdogger
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Is a particle's mass at minimum when viewed at maximum PEP of the wave form;
and is the particle's mass at maximum when viewed at minimum PEP? ( vis e=mc2 )
 
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PEP?
 
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sine wave Peak Envelope Power.
 
No.
 
No idea what "when viewed" means.

There is however a concept of mass width in QFT for unstable particles.
 
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thanks ..I will look up mass width.
 
maximdogger said:
thanks ..I will look up mass width.
It is actually called "decay width".
This means that if you were to colled say two photons emerging from the decay of the Higgs boson. Even if you have 100% perfect dectors and instrumentation, you will still see the invariant mass of these two photons as a distribution peaking around the higgs boson mass. In some sense, this can be interpreted as "mass width"
 
malawi_glenn said:
No idea what "when viewed" means.

There is however a concept of mass width in QFT for unstable particles.
The mass of an "unstable particle" (or more accurately a resonance) is a well-defined number. It's given by the complex pole of its Green's function in (four-)momentum space, i.e., the real part of this pole is the mass and the imaginary part is its decay width, i.e., the inverse mean lifetime.
 
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vanhees71 said:
The mass of an "unstable particle" (or more accurately a resonance) is a well-defined number. It's given by the complex pole of its Green's function in (four-)momentum space, i.e., the real part of this pole is the mass and the imaginary part is its decay width, i.e., the inverse mean lifetime.
Yup.
That is how mass can be defined for particles in qft.
 
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