Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-loop mass anomalous dimension in reduced quantum electrodynamics and
  application to dynamical fermion mass generation   We consider reduced quantum electrodynamics (RQED$_{d_\gamma,d_e}$) a model
describing fermions in a $d_e$-dimensional space-time and interacting via the
exchange of massless bosons in $d_\gamma$-dimensions ($d_e \leq d_\gamma$). We
compute the two-loop mass anomalous dimension, $\gamma_m$, in general
RQED$_{4,d_e}$ with applications to RQED$_{4,3}$ and QED$_4$. We then proceed
on studying dynamical (parity-even) fermion mass generation in RQED$_{4,d_e}$
by constructing a fully gauge-invariant gap equation for RQED$_{4,d_e}$ with
$\gamma_m$ as the only input. This equation allows for a straightforward
analytic computation of the gauge-invariant critical coupling constant,
$\alpha_c$, which is such that a dynamical mass is generated for $\alpha_r >
\alpha_c$, where $\alpha_r$ is the renormalized coupling constant, as well as
the gauge-invariant critical number of fermion flavours, $N_c$, which is such
that $\alpha_c \rightarrow \infty$ and a dynamical mass is generated for $N <
N_c$. For RQED$_{4,3}$, our results are in perfect agreement with the more
elaborate analysis based on the resolution of truncated Schwinger-Dyson
equations at two-loop order. In the case of QED$_4$, our analytical results
(that use state of the art five-loop expression for $\gamma_m$) are in good
quantitative agreement with those obtained from numerical approaches.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
21
The categories of this paper are: adap-org