Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularization-independent studies of nonperturbative field theory   We propose a regularization-independent method for studying a renormalizable
field theory nonperturbatively through its Dyson-Schwinger equations. Using
QED_4 as an example, we show how the coupled equations determining the
nonperturbative fermion and photon propagators can be written entirely in terms
of renormalized quantities, which renders the equations manifestly finite in a
regularization-independent manner. As an illustration of the technique, we
apply it to a study of the fermion propagator in quenched QED_4 with the
Curtis-Pennington electron-photon vertex. At large momenta the mass function,
and hence the anomalous mass dimension gamma_m(alpha), is calculated
analytically and we find excellent agreement with previous work. Finally, we
show that for the CP vertex the perturbation expansion of gamma_m(alpha) has a
finite radius of convergence.

27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math