Mv. Manias et al., 2-DIMENSIONAL FERMIONIC CORRELATIONS IN TOPOLOGICALLY NONTRIVIAL BACKGROUNDS, Physical review. D. Particles and fields, 47(8), 1993, pp. 3592-3599
By using a path-integral approach to the study of two-dimensional mass
less fermionic models in nontrivial sectors, we compute certain specia
l correlation functions which are nonvanishing only when nontrivial to
pology is taken into account. In particular, we derive the first expli
cit expression for the so-called nonminimal Green's function. We intro
duce one specific topological charge distribution for which this corre
lation function takes a simple form. We also comment on the applicatio
n of our results to the analysis of massive fermions in topological ba
ckgrounds.