Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the logarithmic coefficient of the entanglement entropy of a Maxwell
  field   We elucidate the mismatch between the $A$-anomaly coefficient and the
coefficient of the logarithmic term in the entanglement entropy of a Maxwell
field. In contrast to the usual assumptions about the protection of
renormalization group charges at the infrared, the logarithmic term is
different for a free Maxwell field and a Maxwell field interacting with heavy
charges. This is possible because of the presence of superselection sectors in
the IR theory. However, the correction due to the coupling with charged vacuum
fluctuations, that restores the anomaly coefficient, is independent of the
precise UV dynamics. The problem is invariant under electromagnetic duality,
and the solution requires both the existence of electric charges and magnetic
monopoles. We use a real-time operator approach but we also show how the
results for the free and interacting fields are translated into an effective
correction to the four-sphere partition function.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph