On Restricted Weyl Symmetry

Abstract

We discuss the physics of a restricted Weyl symmetry in a curved space-time where a gauge parameter $\Omega (x)$ of Weyl transformation satisfies a constraint $\square \Omega =0$. First, we present a model of QED where we have a restricted gauge symmetry in the sense that a $U(1)$ gauge parameter $\theta (x)$ obeys a similar constraint $\square \theta =0$ in a flat Minkowski space-time. Next, it is precisely shown that a global scale symmetry must be spontaneously broken at the quantum level. Finally, we discuss the origin of the restricted Weyl symmetry and show that its symmetry can be derived from a full Weyl symmetry by taking a gauge condition $R=0$ in the BRST formalism.

12 pages

References in corpus (3)

• Quantum scale invariance, cosmological constant and hierarchy problem
• Fake Conformal Symmetry in Conformal Cosmological Models
• Restricted Weyl invariance in four-dimensional curved spacetime