Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of the Regularized Relativistic Electron-Positron Field   We consider the relativistic electron-positron field interacting with itself
via the Coulomb potential defined with the physically motivated, positive,
density-density quartic interaction. The more usual normal-ordered Hamiltonian
differs from the bare Hamiltonian by a quadratic term and, by choosing the
normal ordering in a suitable, self-consistent manner, the quadratic term can
be seen to be equivalent to a renormalization of the Dirac operator. Formally,
this amounts to a Bogolubov-Valatin transformation, but in reality it is
non-perturbative, for it leads to an inequivalent, fine-structure dependent
representation of the canonical anticommutation relations. This
non-perturbative redefinition of the electron/positron states can be
interpreted as a mass, wave-function and charge renormalization, among other
possibilities, but the main point is that a non-perturbative definition of
normal ordering might be a useful starting point for developing a consistent
quantum electrodynamics.

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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org