Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evidence for mass zeros of the fermionic determinant in four-dimensional
  quantum electrodynamics   The Euclidean fermionic determinant in four-dimensional quantum
electrodynamics is considered as a function of the fermionic mass for a class
of $O(2)\times O(3)$ symmetric background gauge fields. These fields result in
a determinant free of all cutoffs. Consider the one-loop effective action, the
logarithm of the determinant, and subtract off the renormalization dependent
second-order term. Suppose the small-mass behavior of this remainder is fully
determined by the chiral anomaly. Then either the remainder vanishes at least
once as the fermionic mass is varied in the interval $0 < m < \infty$ or it
reduces to its fourth-order value in which case the new remainder, obtained
after subtracting the fourth-order term, vanishes at least once. Which
possibility is chosen depends on the sign of simple integrals involving the
field strength tensor and its dual.

23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th