Fermionic un-particles, gauge interactions and the $\beta$ function

Understand

The dynamics of fermionic unparticles is developed from first principles.

• It is shown that any unparticle, whether fermionic or bosonic, can be recast in terms of a canonically quantized field, but with non-local interaction terms.
• We further develop a possible gauge theory for fermionic unparticles.
• Computing the consequent contribution of un-fermions to the $\beta$ function of the theory, it is shown that this can be viewed as the sum of two contributions, one fermion-like and the other scalar-like.