https://doi.org/10.1140/epjc/s10052-009-1022-2
Regular Article - Theoretical Physics
Fermionic unparticles, gauge interactions and the β function
1
The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600 113, India
2
Department of Physics and Astrophysics, University of Delhi, Delhi, 110 007, India
* e-mail: debajyoti.choudhury@gmail.com
Received:
13
October
2008
Revised:
23
January
2009
Published online:
8
April
2009
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 unfermions to the β 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.
© Springer-Verlag, 2009
