Does a photon have "resting" mass?

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Discussion Overview

The discussion centers around the concept of whether a photon has "resting" mass, exploring the definitions and implications of mass in the context of photons, particularly in relation to their interactions with the Higgs field and their behavior in different media.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants assert that photons have zero mass and cannot have a rest mass since they cannot be at rest.
  • Others mention that while photons are massless, under certain conditions, they can exhibit an effective mass.
  • One participant expresses confusion about the concept of resting mass, linking it to the lack of interaction with the Higgs field.
  • Another participant argues that gravitational lensing does not imply an effective mass for photons, stating they follow curved spacetime instead.
  • There are discussions about terminology, with some preferring "invariant mass" over "rest mass" and others advocating for simply using "mass."
  • A participant introduces the idea that in certain condensed matter contexts, photons could acquire mass due to spontaneous symmetry breaking.
  • Another contribution discusses the historical context of mass terminology in relativity, emphasizing the preference for "invariant mass" in modern discourse.
  • Technical details are provided regarding the spectral function and quasi-particle description of photons in media.

Areas of Agreement / Disagreement

Participants generally agree that photons have zero rest mass, but there are multiple competing views regarding the concept of effective mass and the implications of mass in different contexts. The discussion remains unresolved regarding the terminology and the conditions under which photons might exhibit mass-like behavior.

Contextual Notes

Limitations include the dependence on definitions of mass, the unresolved nature of effective mass in specific contexts, and the varying interpretations of mass in different physical frameworks.

psuedoben
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if so, what is that and how is resting mass different than just mass?
 
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The photon mass is zero and it is not very correct to talk about a photon rest mass as they cannot be at rest. For massive particles, rest mass is what physicists normally refer to when they say "mass". The term "relativistic mass" is not used much and you will have a hard time finding a physicist who refers to it as just "mass".
 
Orodruin said:
The photon mass is zero and it is not very correct to talk about a photon rest mass as they cannot be at rest. For massive particles, rest mass is what physicists normally refer to when they say "mass". The term "relativistic mass" is not used much and you will have a hard time finding a physicist who refers to it as just "mass".
Ok, thank you. I was just confused I had because I had always been told they had no mass at all (because they don't interact with the Higgs fields right?) so it didn't make sense to me as to why they would have resting mass
 
In almost all the cases, the photons are massless.. Only under certain conditions, you can give them an effective mass.
They are massless (rest mass =0 ) because they don't interact with Higgs, but ... we knew before Higgs that they should be massless, for many reasons- one of which is that they travel at [itex]c[/itex], or that Coulomb's law make the force have infinite range, etc...
 
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Please, in English, we say "rest mass", not "resting mass."
 
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Since photons have zero rest mass, the gravitational lensing effect must prove the existence of the photon's effective mass, when traveling at c.
 
It does not, no matter what "effective mass" is supposed to mean. The photons simply follow curved spacetime, as all other objects.
 
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Ah. Thanks.
 
jtbell said:
Please, in English, we say "rest mass", not "resting mass."
Heh,... and I really wish we would always say "invariant mass" instead of "rest mass". :oldwink::oldbiggrin:
 
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  • #10
Just say "mass" as nearly all physicists do.

If the system is not a single particle (or decay products of a single particle), "invariant mass" is clearer, but not necessary.
 
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  • #11
Well, in the forum I talk about "invariant mass". In daily life, I just say mass, because nobody in my environment would misunderstand it to be some strange old-fashioned quantity known as the "relativistic mass" ;-)).
 
  • #12
Photon has no rest mass. In solid material where you have spontaneous breaking of phase symmetry (Anderson-Higgs phenomenon, condensed matter version of Higgs mechanism), it would acquire a mass. In which case it becomes dispersive and group velocity would be different from c.

I am guessing the 'mass' you are referring to is possibly the relativistic mass. It is related to energy, which is not an invariant quantity. General relativistic gravitation is related to the energy-momentum density; in that sense, for a photon gas, there would be frame involving energy density and pressure and this energy density might have an effective gravitating mass density (you still have to take the gravitational effect of pressure relativistically though).
 
  • #13
As stated before in relativistic theory for decades one uses the word mass only for "invariant mass". Only very rarely you find proponents of the old-fashioned idea of "relativistic mass", which were invented in the very early days of relativity (they even had two kindes of "relativistic mass", a transverse and longitudinal one). In my opinion, this notions were obsolete with Minkowski's famous talk on the mathematical structure of (special) relativistic spacetime.

The invariant mass of a free photon is 0. In a medium you can define the retarded photon propagator and a spectral function from it (in thermal equilibrium it's either the analytic continuation of the in-medium Matsubara propagator to real time or equivalently the corresponding matrix element of the Schwinger-Keldysh contour propagator). If this spectral function is sharply peaked enough, you can use a quasi-particle description and define an invariant mass of the photon through the corresponding dispersion relation, otherwise this doesn't make sense und you have to use the broad spectral distribution to describe the corresponding plasmon excitations.
 

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