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arXiv · 0803.4110

Fermionic un-particles, gauge interactions and the $β$ function

Rahul Basu·Debajyoti Choudhury·H. S. Mani
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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 un-fermions 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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Rahul Basu, Debajyoti Choudhury, H. S. Mani. 2008-03-28. Fermionic un-particles, gauge interactions and the $β$ function. https://doi.org/10.1140/epjc%2Fs10052-009-1022-2

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