Abstract

We consider quenched quantum electrodynamics at strong coupling as an ultra-violet stable fixed point field theory. We discuss the collapse of the wave function phenomenon of the Dirac equation and its relation to chiral symmetry breaking and the formation of a condensate. The scaling laws of 〈 ΨΨ〉 are obtained in the strongly coupled phase and near the critical point using Schwinger-Dyson equations. We formulate the non-compact theory on the lattice and study the scaling laws of 〈 ΨΨ〉 numerically. The spectrum of the model is studied by computer simulation methods and we estimate the masses of the pion, sigma, rho and A 1.

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