Gauge model of unparticles

Abstract

Modern theoretical models strongly suggest that new phenomena await discovery above the energy scale of the Standard Model (SM) of particle interactions. In this paper we argue that correct description of particle physics in the TeV energy scale needs to account for degrees of freedom obeying the conformal (or scale) invariance. In this respect, the existing of Georgi's unparticles is strongly argued. We present the gauge model of scalar unparticles. The ground state of scalar unparticles in the continuum is restricted by the vacuum expectation value of the SM Higgs boson and the scale dimension $d$. In the framework of Abelian gauge field theories we develop a model in four-dimensional space-time in which the scalar unHiggs is a dipole field. The quantization is performed within the canonical formalism. Based on general principles of quantum field theory the new features of unHiggs propagators are carried out for the first time.