Is the coupling constant just Gz for all these interactions?

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SUMMARY

The discussion centers on the coupling constant Gz in relation to the Z boson interactions with leptons, anti-leptons, quarks, and anti-quarks. It is established that the coupling constant varies based on the type of interaction, specifically Gz = Gz.Sin(z) for certain interactions and Gz = Gz.Cos(z) for others, particularly in the context of quark interactions. The conversation also touches on the implications of Charge Parity Time (CPT) violations and the running of coupling constants, which complicates the notion of a constant coupling. The participants seek clarification on the differences in coupling constants for various particle interactions.

PREREQUISITES
  • Understanding of electroweak theory and its implications.
  • Familiarity with coupling constants in quantum field theory (QFT).
  • Knowledge of Charge Parity Time (CPT) symmetry and violations.
  • Basic concepts of particle physics, including leptons and quarks.
NEXT STEPS
  • Research the implications of CPT violations in electroweak theory.
  • Study the concept of running coupling constants in quantum field theory.
  • Explore the differences in coupling constants for various particle interactions, specifically between leptons and quarks.
  • Examine the mathematical formulations of Gz in different particle interactions.
USEFUL FOR

Particle physicists, quantum field theorists, and students studying electroweak interactions will benefit from this discussion, particularly those interested in the nuances of coupling constants and their applications in particle interactions.

venomxx
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Homework Statement


Just a quick question, the Z can couple to leptons and there antiLeptons and quarks and there corresponding antiquark. Is the coupling constant just Gz for all these interactions? Or is it Gz.Sin(z) for some and not for others?

Iv seen different notation and am wondering why?
 
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venomxx said:

Homework Statement


Just a quick question, the Z can couple to leptons and there antiLeptons and quarks and there corresponding antiquark. Is the coupling constant just Gz for all these interactions? Or is it Gz.Sin(z) for some and not for others?

Iv seen different notation and am wondering why?

What is the solution of the photon?

ie

http://upload.wikimedia.org/wikipedia/commons/8/8c/Standard_deviation_diagram.svg

In SR?

ie

\bar{x}=x

and

\bar{z}=z

The coupling constant is constant. so G_z=Gz.Sin(z) if there are no CPT violations.

Charge Parity Time (CPT)

Thus CPT symmetry.

And thus QFT:

http://en.wikipedia.org/wiki/Quantum_field_theory
 
Last edited by a moderator:
Cheers for the response :)

So for a Z --> e-e+ and Z--> qq" the coupling constants would be the same? Gz = gz*Sin(z)? I know that it changes for the weak depending on if its interacting with quarks or leptons, I am still unsure of why the difference?

Also out of curiosity... i thought it can't be constant because of the 'running of the coupling constants' idea?
 
venomxx said:
Cheers for the response :)

So for a Z --> e-e+ and Z--> qq" the coupling constants would be the same? Gz = gz*Sin(z)? I know that it changes for the weak depending on if its interacting with quarks or leptons, I am still unsure of why the difference?

Also out of curiosity... i thought it can't be constant because of the 'running of the coupling constants' idea?

Exactly weak has CPT violations inherent in it thus The Nobel prize for electro/weak theory.
 
Schrödinger's Dog said:
Exactly weak has CPT violations inherent in it thus The Nobel prize for electro/weak theory.

Electroweak theory has CP violations. No theory has CPT violations.
 
Subsequently i have found it to be a little different then mentioned above:

(z --> uu') has a coupling constant GzCos(z)
(z --> dd') has a coupling constant GzCos(z)

(z --> cc') has a coupling constant GzSin(z)
(z --> ss') has a coupling constant GzSin(z)

Can i confirm that this is correct? Also i am still unsure for leptons, am i to assume its just Gz like for W bosons?

Cheers
 

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