Weak interaction between electrons

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Discussion Overview

The discussion revolves around the weak interaction between electrons, particularly in the context of how it relates to electrostatic forces and the electroweak interaction. Participants explore the implications of weak force interactions in various scenarios, including atomic energy levels and particle exchanges.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants assert that while electrons are repelled by electrostatic force, they also interact via weak force, suggesting a dual interaction.
  • Others clarify that every electromagnetic interaction is accompanied by a weak interaction due to the electroweak theory, specifically mentioning the role of the Z0 boson.
  • It is noted that at temperatures much below the Z0 boson mass, the weak interaction's amplitude is negligible compared to electromagnetic interactions, particularly in everyday scenarios and atomic energy levels.
  • Participants discuss whether electrons exchange only Z0 bosons or also W+ and W- bosons, with some stating that W bosons cannot be directly exchanged by electrons due to charge conservation, while Z0 boson exchanges are possible but negligible in effect.
  • There are mentions of more complex Feynman diagrams that could involve W bosons, but these contributions are considered significantly smaller than those from Z0 boson exchanges.

Areas of Agreement / Disagreement

Participants generally agree on the theoretical framework of weak interactions but express differing views on the practical implications and contributions of these interactions in various contexts, indicating that the discussion remains unresolved.

Contextual Notes

Participants highlight limitations regarding the conditions under which weak interactions become relevant, particularly emphasizing temperature dependencies and the negligible impact of weak interactions in most practical scenarios.

Philipsmett
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The two electrons will be repelled by electrostatic force, but they interact with weak force, means that in addition to the electrostatic force between the electrons there will be weak force?
 
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Philipsmett said:
The two electrons will be repelled by electrostatic force, but they interact with weak force, means that in addition to the electrostatic force between the electrons there will be weak force?

Yes. In fact, due to the nature of the electroweak interaction, every electromagnetic interaction necessarily comes with a corresponding weak interaction, since every particle which interacts with a photon must also interact with the weak Z0 boson.
 
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king vitamin said:
due to the nature of the electroweak interaction, every electromagnetic interaction necessarily comes with a corresponding weak interaction, since every particle which interacts with a photon must also interact with the weak Z0 boson.

This is true in principle, but leaves out a key point. At temperatures much below the Z0 boson mass (which is temperatures everywhere except inside high-energy experiments like the LHC, or possibly deep inside the cores of very hot stars), the amplitude for weak interaction is negligible compared to the amplitude for electromagnetic interaction. So, for example, if you are talking about the energy levels of electrons in atoms, weak interactions have no measurable impact (and "measurable" here means to eleven or twelve decimal places, accurate enough to see fairly high order QED effects). Similar remarks apply to any electromagnetic phenomenon encountered in daily life.
 
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PeterDonis said:
This is true in principle, but leaves out a key point. At temperatures much below the Z0 boson mass (which is temperatures everywhere except inside high-energy experiments like the LHC, or possibly deep inside the cores of very hot stars), the amplitude for weak interaction is negligible compared to the amplitude for electromagnetic interaction. So, for example, if you are talking about the energy levels of electrons in atoms, weak interactions have no measurable impact (and "measurable" here means to eleven or twelve decimal places, accurate enough to see fairly high order QED effects). Similar remarks apply to any electromagnetic phenomenon encountered in daily life.
electrons exchange only Z0 bosons or also WE +/- bosons?
 
Philipsmett said:
electrons exchange only Z0 bosons or also WE +/- bosons?

If you're talking about contributions to the electrostatic force between charged particles, there will be a Z0 boson exchange Feynman diagram possible (but, as I noted, it will be way too small to make any measurable contribution to the observed force), but no W+ or W- boson exchange diagrams, since that would obviously violate charge conservation. However, there are more complicated Feynman diagrams possible that could involve W+ or W- bosons as intermediates (but the contributions from those would be much smaller even than the Z0 boson exchange contribution).
 
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W bosons produce So called flavour changing currents, so no, electrons cannot directly emit or absorb W bosons.
Philipsmett said:
electrons exchange only Z0 bosons or also WE +/- bosons?

That being said, they can be created at weak vertices so a Z boson can decay to a pair of W’s Though because of the propagator it diminishes the amplitude of that interaction significantly.

PeterDonis said:
If you're talking about contributions to the electrostatic force between charged particles, there will be a Z0 boson exchange Feynman diagram possible (but, as I noted, it will be way too small to make any measurable contribution to the observed force), but no W+ or W- boson exchange diagrams, since that would obviously violate charge conservation. However, there are more complicated Feynman diagrams possible that could involve W+ or W- bosons as intermediates (but the contributions from those would be much smaller even than the Z0 boson exchange contribution).
 

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