What are the charges of quarks and leptons?

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SUMMARY

The discussion centers on the nature of charges associated with quarks and leptons in particle physics. Charges are intrinsic properties that arise from how these particles interact with fields, particularly through gauge transformations, which define their symmetries. Electric charges for leptons are determined by their movement in electromagnetic fields, while quarks possess fractional charges (±1/3 or ±2/3 of the elementary charge) to ensure that mesons and baryons have the correct overall charge. The conversation emphasizes that charge is not merely a label but a fundamental characteristic linked to the particles' interactions and transformations.

PREREQUISITES
  • Understanding of gauge transformations in field theory
  • Familiarity with the concept of electric charge and its properties
  • Knowledge of mesons and baryons in particle physics
  • Basic grasp of Noether's Theorem and its implications for symmetries
NEXT STEPS
  • Study gauge theory and its role in particle physics
  • Explore the concept of fractional charge in quarks
  • Investigate the implications of Noether's Theorem in physics
  • Learn about the interactions between particles and fields in quantum mechanics
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Students and enthusiasts of particle physics, physicists exploring fundamental interactions, and anyone interested in the theoretical underpinnings of charge in subatomic particles.

Behrouz
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Hello everyone,
I'm sorry if it's a dumb question, I'm very new in self studying particle physics.
May I ask when we associate a charge (i.e. positive or negative) to quark and lepton, is it only because of their attraction or repulsion toward each other? in other words, is it just to name one of their properties because the way they react to another particle's property?
Thank you so much in advance.
 
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Behrouz said:
May I ask when we associate a charge (i.e. positive or negative) to quark and lepton, is it only because of their attraction or repulsion toward each other? in other words, is it just to name one of their properties because the way they react to another particle's property?
Thank you so much in advance.
From our usual /classical world experiences we have attributed charge to a particle or body based on the its interaction with other bodies- so it’s a characteristic attribute and can not be associated with a ‘material’ picture .
So ,you are right in saying <just to name one of their properties because the way they react to another particle's property?>

Such as flow of charges are not like “fluid flow” but movement of particles or fields in space.

The action at a distance between charges also is mediated by ‘particles’ which can be exchanged

If we look from the basis of Field theory particles can be visualized as states (or quanta) of field quantum.

When a field is invariant under some of transformations called a gauge transformation, then the associated particle is said to have charge which corresponds to that symmetry. This is where electric charge comes from, along with other types of charges such as color charges.

A particle’s charge determines how it transforms under symmetry operations. (see Noether's Theorem.)
Other intrinsic properties like "spin" also behaves like a spin-charge- if particles with well defined spins move then a 'spin-wave' can be built up.
 
Behrouz said:
Hello everyone,
I'm sorry if it's a dumb question, I'm very new in self studying particle physics.
May I ask when we associate a charge (i.e. positive or negative) to quark and lepton, is it only because of their attraction or repulsion toward each other? in other words, is it just to name one of their properties because the way they react to another particle's property?
Thank you so much in advance.
If you mean electric charge, then the charges on leptons can be assigned according to how they move in an electromagnetic field. Quarks are conceptual components which make up mesons and baryons, and their electric charges are assigned in such a way that their combinations to form the relevant mesons and baryons have the correct observed overall charge when added together. For this to work for baryons, the charges need to be fractional (plus or minus 1/3 or 2/3 of the elementary charge).

Other quantum properties which may be called "charge" are assigned in such a way as to give the correct overall properties for the combinations of quarks which form the actual particles.
 
drvrm said:
From our usual /classical world experiences we have attributed charge to a particle or body based on the its interaction with other bodies- so it’s a characteristic attribute and can not be associated with a ‘material’ picture .
So ,you are right in saying <just to name one of their properties because the way they react to another particle's property?>

Such as flow of charges are not like “fluid flow” but movement of particles or fields in space.

The action at a distance between charges also is mediated by ‘particles’ which can be exchanged

If we look from the basis of Field theory particles can be visualized as states (or quanta) of field quantum.

When a field is invariant under some of transformations called a gauge transformation, then the associated particle is said to have charge which corresponds to that symmetry. This is where electric charge comes from, along with other types of charges such as color charges.

A particle’s charge determines how it transforms under symmetry operations. (see Noether's Theorem.)
Other intrinsic properties like "spin" also behaves like a spin-charge- if particles with well defined spins move then a 'spin-wave' can be built up.
Hello drvm,

Thank you so much for your complete answer to my question. It gave me a lot of information and a new way of thinking about that. I appreciate it.
Regards,
Behrouz
 
Jonathan Scott said:
If you mean electric charge, then the charges on leptons can be assigned according to how they move in an electromagnetic field. Quarks are conceptual components which make up mesons and baryons, and their electric charges are assigned in such a way that their combinations to form the relevant mesons and baryons have the correct observed overall charge when added together. For this to work for baryons, the charges need to be fractional (plus or minus 1/3 or 2/3 of the elementary charge).

Other quantum properties which may be called "charge" are assigned in such a way as to give the correct overall properties for the combinations of quarks which form the actual particles.
Dear Jonathan,

Thanks for your response. I was looking for the meaning of 'Charge', not the way it is used in electricity or 'electrical' charge, but the reason behind the 'Negative' and 'positive' definitions for physical particles. I believe the second part of your answer is helping me in that case.
Thanks again. I appreciate it.

Regards,
Behrouz
 

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