Photon had a non-zero rest mass, based on measured helicity values?

In summary, the conversation discusses the possibility of determining if a photon has a non-zero rest mass based on measured helicity values. It is explained that rest mass mixes up the two different chiralities in QFT, and therefore photons are always massless due to not interacting with the Higgs-field. The probability of a particle being in a certain helicity state is also discussed, with the conclusion that a massless particle has zero probability of being in a positive helicity state. It is then confirmed that this argument can be used to deduce a photon's helicity. The conversation ends with well wishes for an upcoming exam.
  • #1
rayveldkamp
60
0
Hi, got an exam tomorrow for particle physics and need a question answered concerning helicity.

How would it be possible to determine if a photon had a non-zero rest mass, based on measured helicity values?

Thanks
Ray
 
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  • #2
rayveldkamp said:
Hi, got an exam tomorrow for particle physics and need a question answered concerning helicity.

How would it be possible to determine if a photon had a non-zero rest mass, based on measured helicity values?

Thanks
Ray

Well, restmass (which is always referred to as just mass, so don't bother to make the distinction :wink: ) mixes up the two different possible chiralities. This is a result of the famous "tau-theta-puzzle" in QFT. To make a long story short : in QFT all elementary particles are massless because the two chiralities each correspond to a different kind of fundamental "particle-property". I mean, in QFT particles are classified based upon their chirality because a left handed chiral particle does not behave in the same way as a right hand chiral particle. So mass has to be zero (before the spontaneous breakdown of symmetry) because otherwise one particle possesses the TWO chiralities at once (because of the mass-term in the Lagrangian) and thus it is NOT fundamental. So basically photons are always massless because they do not interact with the Higgs-field. They contain a distinct chirality-value and thus not different values for ONE photon. Just look at the V-A-current in the elektroweak-theory : only left handed fermions (or right handed anti-fermions) are involved in weak charged currents.


regards
marlon
 
  • #3
OK, i understand the your point, but I am only in second year undergraduate physics at university so we haven't covered a lot of QFT. Basically due to parity violation for the Weak Interaction, participating fermions are emitted and absorbed predominantly in negative helicity states (and positive for anti-fermions), the probability a fermion's in a negative helicity state can be found by

P=0.5(1+v/c) where v is the particle's speed
and for a fermion in a positive helicity
P=0.5(1-v/c)

So from here i see that a massless particle has zero probability of being in a positive helicity. I am just wondering if this same argument can be used to deduce a photon's helicity.
Thanks
Ray
 
  • #4
You are correct...it is going to be something like that...

marlon
 
  • #5
Thanks for that, feeling a bit relieved for tomorrow's exam now!

Regards
Ray
 
  • #6
good luck man...

marlon
 

Related to Photon had a non-zero rest mass, based on measured helicity values?

1. What is a photon?

A photon is a fundamental particle of light that carries energy and has no electric charge or rest mass.

2. Can a photon have a non-zero rest mass?

Based on current scientific understanding and measurements of helicity values, a photon is believed to have no rest mass. However, there is ongoing research and debate about the possibility of a very small rest mass for photons.

3. How is the rest mass of a photon measured?

The rest mass of a photon cannot be directly measured, as it is believed to be zero. However, scientists can indirectly measure the mass by studying the helicity values of photons and their interactions with other particles.

4. What are helicity values?

Helicity values refer to the intrinsic angular momentum of a particle, specifically the direction of spin relative to its direction of motion. For a photon, helicity values can provide information about its mass and other properties.

5. Why is it important to understand the rest mass of a photon?

Understanding the rest mass of a photon is important for furthering our understanding of the fundamental properties of light and other particles, as well as for developing new technologies and applications in fields such as quantum mechanics and telecommunications.

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