Confinement of electrons in QED2+1 and quarks in QCD3+1 in Temporal Euclidean space

Details Confinement of electrons in QED2+1 and quarks in QCD3+1 in Temporal Euclidean space Confinement of electrons in QED2+1 and quarks in QCD3+1 in Temporal Euclidean space

2009-05-14

arxiv.org/abs/0905.2390v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6pages, based on the talk Excited QCD, Zakopane 2009

Scientific paper

Without any analytical assumption we solve the ladder QED2+1 in Minkowski space. Further, we transform Greens functions to the Temporal Euclidean space, wherein we show that in the special case of ladder QED2+1 the solution is fully equivalent to the Minkowski one. QCD quark gap equation is solved in the framework of Temporal Euclidean space as well. In both models, the obtained complex fermion propagators exhibits confinement, since it does not satisfies Khallen-Lehmann representation.

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