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Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
A. F. Pikelner, V. P. Gusynin, A. V. Kotikov +1
We calculate the three- and four-loop corrections to the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics with four-component fermions. The three-l…
Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
V. P. Gusynin, A. V. Kotikov, S. Teber
We study the gauge-covariance of the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics in the framework of dimensional regularization in d=3-2\ep. A…
Magnetic Catalysis of Chiral Symmetry Breaking in Gauge Theories
V. P. Gusynin
Non-perturbative effect of the formation of a chiral symmetry breaking condensate <\barψψ> and of a dynamically generated fermion mass in QED in the presence of an external magneti…
Chiral symmetry breaking in dimensionally regularized nonperturbative quenched QED
V. P. Gusynin, A. W. Schreiber, T. Sizer +1
In this paper we study dynamical chiral symmetry breaking in dimensionally regularized quenched QED within the context of Dyson-Schwinger equations. In D < 4 dimensions the theory…
Dynamical Chiral Symmetry Breaking in QED in a Magnetic Field: Toward Exact Results
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy
We describe a (first, to the best of our knowledge) essentially soluble example of dynamical symmetry breaking phenomenon in a 3+1 dimensional gauge theory without fundamental scal…
Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions
V. P. Gusynin, I. A. Shovkovy
The derivative expansion of the one-loop effective action in QED and QED is considered. The first term in such an expansion is the effective action for a constant electroma…