Manuscript X-A-ST@1 · X-A-ST.tex · definition · d9ccbde1

Definition: Regulated coordinate density

Frozen classical prescription › Two different density operators · lines 580–593

X-A-ST@1#def:Aeps, X-A-ST@1#eq:Aeps

The auxiliary coordinate density and its operator are

A_{ε} [q]^{μν} = η^{μν} + σ (A_{q}^{μν} - η^{μν}), D_{ε} [q] ψ = \partial_{μ} (A_{ε} [q]^{μν} \partial_{ν} ψ) .

The output is a scalar density relative to $d^{4} x$ . No convolution occurs.

Displayed formulas in this passage

X-A-ST@1#eq:Aeps · line 583
$A_{ε} [q]^{μν} = η^{μν} + σ (A_{q}^{μν} - η^{μν}), D_{ε} [q] ψ = \partial_{μ} (A_{ε} [q]^{μν} \partial_{ν} ψ) .$