Why carrying force particles must be bosons?

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Discussion Overview

The discussion centers on the nature of force-carrying particles in quantum field theory, specifically why these particles must be bosons. Participants explore concepts related to bosonic statistics, gauge interactions, and the implications of symmetry in particle physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses a lack of understanding regarding the requirement for force-carrying particles to be bosons, seeking clarification.
  • Another participant questions the existence of multiple particles of the same energy level and how this leads to the conclusion that these particles must obey Bose-Einstein statistics.
  • A different participant proposes that the additive nature of forces might explain why force-carrying particles are bosons.
  • One participant discusses gauge interactions, stating that gauging a bosonic symmetry results in a bosonic gauge field, linking the statistics of the covariant derivative to the field it acts upon.
  • There is a request for clarification on the term "bosonic symmetry," with specific references to SU(2)xU(1) and SU(3) symmetries.
  • A follow-up response defines "bosonic symmetry" as transformations with c-number parameters, contrasting it with fermionic symmetry, which involves Grassmann numbers.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and agreement on the concepts discussed, with no consensus reached on the necessity of bosonic nature for force-carrying particles or the implications of bosonic symmetry.

Contextual Notes

Some participants' claims depend on specific definitions of symmetry and statistics, which remain unresolved in the discussion.

ndung200790
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I have not seen in any book explain why carrying interaction particles must be boson particles.Please teach me this.
 
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I do not understand why there is possibly to exist many particles of carrying force field at the same energy,so that we conclude the carrying force particles must be bosons(that obey Bose-Einstein statistic)
 
Now,I think that it is because the force is additive,so that there are many particles of carrying force.Is that correct?
 
If you're referring to gauge interactions, then gauging a bosonic symmetry will always lead to a bosonic gauge field, since the covariant derivative must have the same statistics as the field it's acting on.

It's possible to write down interactions between fermions without any gauge fields, like the four-fermion terms ##(\bar{\psi}\psi)(\bar{\chi}\chi)##, but these are nonrenormalizable.
 
Please say what is ''bosonic symmetry''.Are SU(2)xU(1) and SU(3) being bosonic symmetry?
 
ndung200790 said:
Please say what is ''bosonic symmetry''.Are SU(2)xU(1) and SU(3) being bosonic symmetry?

By bosonic symmetry, I mean the familiar type of transformation where the parameter is a c-number. A fermionic symmetry would have a parameter that is a Grassmann number, such as in BRST or supersymmetry transformations.
 

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