Identifying the Forces of the Weak Angle Coupling Constant: Spin or Charge?

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Discussion Overview

The discussion centers around the identification of the forces associated with the weak angle coupling constant, specifically whether these forces are related to spin or charge. Participants explore theoretical aspects of weak interactions, coupling constants, and the implications of symmetry breaking.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions the identification of the two forces of the weak angle coupling constant, suggesting that without clarity on whether spin or charge is involved, new forces could be hypothesized.
  • Another participant discusses the definition of electric charge in relation to coupling constants, emphasizing that these constants cannot simply be labeled as "forces" due to symmetry breaking.
  • Some participants assert that the failure of symmetry results in a short-range force, yet they do not clarify the implications for the weak coupling constant.
  • There is mention of the coupling constant G_F being related to the charged weak force and a separate coupling constant for the neutral weak force, which is linked to the Z boson.
  • One participant raises the concept of symmetry restoration and its implications for the emergence of long-range forces from the coupling constants.
  • Another participant expresses frustration over perceived inaccuracies in the original question regarding known forces and challenges the clarity of the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the identification of the two forces associated with the weak angle coupling constant. Multiple competing views and interpretations remain unresolved throughout the discussion.

Contextual Notes

Some statements made by participants contain inaccuracies or assumptions that are not universally accepted, leading to confusion and contention in the discussion.

enotstrebor
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You still have not answered the question; What are the two forces of the weak angle coupling constant?

We have spin and charge as known forces. If you can not specifically identify spin or charge as one of the two forces involved in the weak coupling constant than for all you know there could be two new forces that couple together?

Where is Vanadium 50. May be he can answer how the the measured V-A theory g_v and g_A weak angle values are identified to be either charge g_v and the other force of the weak coupling g_A or as the other force of the weak coupling g_v and spin g_A?
 
Last edited:
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The electric charge e (and thus the fine structure constant) is defined as:

e = \dfrac{g\,g' }{\sqrt{g^2 + {g'}^2}}

where g' , g are the U(1)_Y and SU(2)_L coupling constants respectively. Recall that the symmetry is BROKEN from SU(2)_L x U(1)_Y to U(1)_em so one can not call g and g' as "coupling constants of a force".
 
I can not see the problem. The result of the failure of symmetry is a short-range force instead of a long range one, but still a force.
 
arivero said:
I can not see the problem. The result of the failure of symmetry is a short-range force instead of a long range one, but still a force.

So the coupling constant of the "weak" force is?
 
ansgar said:
So the coupling constant of the "weak" force is?

G_F

OK I think I see some point. We start we two coupling constants g g' AND a mass scale (the vacuum expected value of of the higgs field). So three quantities. But the historic experimental theory used only two coupling constants, e and G_F.

Of course the answer is that G_F is the coupling constant of the "charged weak force", related to the W particle, ant then we have another coupling constant for the "neutral weak force", related to the Z. Neutral currents were first predicted and only discovered later, so there is not a trace of this constant in the textbooks, it is produced from the other, using the Weinberg angle.
 
exactly arivero :)
 
Another issue is symmetry restoration. For simplicity, and even again the OP, let's put M_W=M_Z. It is OK to have e=0. Now let's move M_W,M_Z\to 0. The couplings g and g' should emerge as couplings of two long-range forces, but it is not obvious from the empirical lagrangian.
 
enotstrebor said:
You still have not answered the question; What are the two forces of the weak angle coupling constant?

We have spin and charge as known forces. If you can not specifically identify spin or charge as one of the two forces involved in the weak coupling constant than for all you know there could be two new forces that couple together?

Where is Vanadium 50. May be he can answer how the the measured V-A theory g_v and g_A weak angle values are identified to be either charge g_v and the other force of the weak coupling g_A or as the other force of the weak coupling g_v and spin g_A?

Can no one answer this question?

How about you Vanadium 50?
 
Your question is so riddled with inaccuracies, I doubt anyone can answer it. "We have spin and charge as known forces" indeed.


"Miss Vito, what would the correct ignition timing be on a 1955 Bel Air Chevrolet, with a 327 cubic-inch engine and a four-barrel carburetor?"
 
  • #10
Vanadium 50,

Since you choose not to enlighten but to vilify, I will make it simple for you, just answer the first line, i.e.

What are the two forces involved in the weak angle coupling constant?
 
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  • #11
And since you choose to ignore the answers you've been given, I'll close the thread.
 

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