Chiral Symmetry Breaking and confinement in Minkowski space QED2+1
arXiv:1006.0612 · doi:10.1007/s00601-010-0091-y
Abstract
Without any analytical assumption we solve the ladder QED2+1 in Minkowski space. Obtained complex fermion propagator exhibits confinement in the sense that it has no pole. 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. Obvious invalidity of Wick rotation is briefly discussed. The infrared value of the dynamical mass is compared with other known approaches, e.g. with the standard Euclidean calculation.
published version in FBS, sections added
References in corpus (7)
- AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
- Regarding confinement and dynamical chiral symmetry breaking in QED3
- Gauge invariance of a critical number of flavours in QED3
- Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids
- Chiral Symmetry Restoration in Anisotropic QED(3)
- Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
- Quark Schwinger-Dyson equation in temporal Euclidean space