Unparticle Realization Through Continuous Mass Scale Invariant Theories

Abstract

We consider scale invariant theories of continuous mass fields, and show how interactions of these fields with the standard model can reproduce unparticle interactions. There is no fixed point or dimensional transmutation involved in this approach. We generalize interactions of the standard model to multiple unparticles in this formalism and explicitly work out some examples, in particular we show that the product of two scalar unparticles behaves as a normalized scalar unparticle with dimension equal to the sum of the two composite unparticle dimensions. Extending the formalism to scale invariant interactions of continuous mass fields, we calculate three point function of unparticles.

RevTex 13 pages, more explanations added. Version to appear in PRD

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• Realizing infrared power-law liquids in the cuprates from unparticle interactions
• The large CP phase in B(s) - anti-B(s) mixing and Unparticle Physics
• Power-law Optical Conductivity from Unparticles: Application to the Cuprates
• Invisible Higgs boson, continuous mass fields and unHiggs mechanism
• Unparticle mediated superconductivity
• Unparticle Self-Interactions at the Large Hadron Collider
• A First-Quantized Model For Unparticles and Gauge Theories Around Conformal Window