I Does a particle's mass fluctuate.

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The discussion centers on the relationship between a particle's mass and its wave properties, specifically questioning if mass fluctuates based on the Peak Envelope Power (PEP) of the wave form. Participants clarify that the concept of "mass width" or "decay width" in Quantum Field Theory (QFT) describes how the mass of unstable particles is represented as a distribution rather than a fixed value. The invariant mass of particles, such as photons from Higgs boson decay, exhibits a peak around the Higgs mass, indicating a range rather than a singular measurement. The mass of unstable particles is defined through complex poles in momentum space, linking real mass to decay width. Overall, the conversation emphasizes the nuanced understanding of mass in the context of quantum mechanics and particle physics.
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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?
 
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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