Why carrying force particles must be bosons?

[ndung200790]

I have not seen in any book explain why carrying interaction particles must be boson particles.Please teach me this.

 

[ndung200790]

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)

 

[ndung200790]

Now,I think that it is because the force is additive,so that there are many particles of carrying force.Is that correct?

 

[fzero]

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.

 

[ndung200790]

Please say what is ''bosonic symmetry''.Are SU(2)xU(1) and SU(3) being bosonic symmetry?

 

[fzero]

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.