A. Aste et al., POWER COUNTING DEGREE VS. SINGULAR ORDER IN THE SCHWINGER MODEL, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 111(3), 1998, pp. 323-327
The importance of a rigorous definition of the singular degree of a di
stribution is demonstrated in the case of two-dimensional QED (Schwing
er model). Correct mathematical treatment of second-order vacuum polar
ization in the perturbative approach is crucial in order to obtain the
Schwinger mass of the photon by resummation.