Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extracting the Maxwell charge from the Wheeler-DeWitt equation   We consider the Wheeler-De Witt equation as a device for finding eigenvalues
of a Sturm-Liouville problem. In particular, we will focus our attention on the
electric (magnetic) Maxwell charge. In this context, we interpret the Maxwell
charge as an eigenvalue of the Wheeler-De Witt equation generated by the
gravitational field fluctuations. A variational approach with Gaussian trial
wave functionals is used as a method to study the existence of such an
eigenvalue. We restrict the analysis to the graviton sector of the
perturbation. We approximate the equation to one loop in a Schwarzschild
background and a zeta function regularization is involved to handle with
divergences. The regularization is closely related to the subtraction procedure
appearing in the computation of Casimir energy in a curved background. A
renormalization procedure is introduced to remove the infinities together with
a renormalization group equation.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga