A First-Quantized Model for Unparticles and Gauge Theories around Conformal Window

  title={A First-Quantized Model for Unparticles and Gauge Theories around Conformal Window},
  author={N. Boulanger and Fabien Buisseret and G. Lhost},
We first quantize an action proposed by Casalbuoni and Gomis in 2014 that describes two massless relativistic scalar particles interacting via a conformally invariant potential. The spectrum is a continuum of massive states that may be interpreted as unparticles. We then obtain in a similar way the mass operator for a deformed action in which two terms are introduced that break the conformal symmetry: a mass term and an extra position-dependent coupling constant. A simple Ansatz for the latter… 

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