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

Abstract

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. However, if full conformal invariance is imposed, the latter vanishes identically. We discuss the consequences thereof as well as some general phenomenological issues.

15 pages, LateX, uses axocolor.sty, included

References in corpus (9)

• Unparticle Physics
• Another Odd Thing About Unparticle Physics
• Collider signals in unparticle physics
• Collider Phenomenology of Unparticle Physics
• Deconstruction of Unparticles
• Some Phenomenologies of Unparticle Physics
• Unparticles: Scales and High Energy Probes
• Colored Unparticles
• Unparticle Physics And Gauge Coupling Unification

Cited by in corpus (9)

• Unparticles and Anomalous Dimensions in the Cuprates
• Power-law liquid in cuprate superconductors from fermionic unparticles
• Generalized unparticles, zeros of the Green function, and momentum space topology of the lattice model with overlap fermions
• Anomalies, Unparticles, and Seiberg Duality
• Constraining Unparticles from Top Physics at TeVatron
• Oscillation dynamics of active-unsterile neutrino mixing in a $2+\tilde{1}$ mixing scheme
• Protecting unparticles from the MSSM Higgs sector
• Indian Contributions to LHC Theory
• Constraints on electroweak gauged unparticle model from the oblique parameters S and T