English

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

High Energy Physics - Phenomenology 2009-07-22 v1

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 β\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.

Keywords

Cite

@article{arxiv.0803.4110,
  title  = {Fermionic un-particles, gauge interactions and the $\beta$ function},
  author = {Rahul Basu and Debajyoti Choudhury and H. S. Mani},
  journal= {arXiv preprint arXiv:0803.4110},
  year   = {2009}
}

Comments

15 pages, LateX, uses axocolor.sty, included

R2 v1 2026-06-21T10:25:21.121Z