Chiral Symmetry Breaking and confinement in Minkowski space QED2+1

摘要

Without any analytical assumption we solve the ladder QED2+1 in Minkowskispace. Obtained complex fermion propagator exhibits confinement in the sensethat it has no pole. Further, we transform Greens functions to the TemporalEuclidean space, wherein we show that in the special case of ladder QED2+1 thesolution is fully equivalent to the Minkowski one. Obvious invalidity of Wickrotation is briefly discussed. The infrared value of the dynamical mass iscompared with other known approaches, e.g. with the standard Euclideancalculation.