# QG in terms of creation of anhinilation operators

1. Apr 29, 2009

### zetafunction

perhaps it is just a nonsense but can we express or could we express

$$g_{ab }(x) = \int exp(iux)a(+)f(+) + \int exp(-iux)a(-)f(-)$$

the idea is, we express the metric g_ab in terms of the creation an anhinilation operators

we write also $$\pi _ab$$ (conjugate momenta) as a sum of creation of anhinilation operator

the qeustion is that if energy depends on curvature depending of the curvature and the operators a(+) and a(-) the metric can 'create' a flux of virtual particles

here f(+) and f(-) are functions that satisfy the following wave equation $$g_{ab} \nabla \nabla f(+,-) =0$$

here 'nabla' means the covariant derivative operator