Extended Conformal Symmetry in 'd not equal 4' : Conformal Symmetry of Abelian Gauge Theory in the Physical Sector.

摘要

Abelian gauge theory in d not equal 4 spacetime dimensions is an example of a scale invariant theory which does not possess conformal symmetry – the special conformal transformation(SCT) explicitly breaks the gauge invariance of the theory. In this work, we construct a non-local gauge-invariant extension of the SCT, which is compatible with the BRST formalism and defines a new symmetry of the physical Hilbert space of the Maxwell theory for any dimension d > 3. We prove the invariance of the Maxwell theory in d > 3 by explicitly showing that the gauge-invariant two-point correlation functions, the action, and the classical equation of motion are unchanged under such a transformation.