Is the coupling constant just Gz for all these interactions?

[venomxx]

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?

 

[Schrodinger's Dog]

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

 

[venomxx]

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?

 

[Schrodinger's Dog]

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.

 

[Ben Niehoff]

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.

 

[venomxx]

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