Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Renormalized Electron Mass in Non-Relativistic Quantum
  Electrodynamics   This work addresses the problem of infrared mass renormalization for a scalar
electron in a translation-invariant model of non-relativistic QED. We assume
that the interaction of the electron with the quantized electromagnetic field
comprises a fixed ultraviolet regularization and an infrared regularization
parametrized by $\sigma>0$. For the value $p=0$ of the conserved total momentum
of electron and photon field, bounds on the renormalized mass are established
which are uniform in $\sigma\to0$, and the existence of a ground state is
proved. For $|p|>0$ sufficiently small, bounds on the renormalized mass are
derived for any fixed $\sigma>0$. A key ingredient of our proofs is the
operator-theoretic renormalization group using the isospectral smooth Feshbach
map. It provides an explicit, finite algorithm that determines the renormalized
electron mass at $p=0$ to any given precision.

34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn