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Fermionic unparticles, gauge interactions and the β function

  • Regular Article - Theoretical Physics
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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 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.

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600 113, India

    Rahul Basu & H. S. Mani

  2. Department of Physics and Astrophysics, University of Delhi, Delhi, 110 007, India

    Debajyoti Choudhury

Authors
  1. Rahul Basu
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  2. Debajyoti Choudhury
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  3. H. S. Mani
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Correspondence to Debajyoti Choudhury.

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Basu, R., Choudhury, D. & Mani, H.S. Fermionic unparticles, gauge interactions and the β function. Eur. Phys. J. C 61, 461–470 (2009). https://doi.org/10.1140/epjc/s10052-009-1022-2

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-1022-2

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