The Dyson-Schwinger equation for the quark propagator is handled in the infrared in three ways: (i) by a sharp cutoff; (ii) by an automatic infrared cutoff, which yields a pseudolinear equation; (iii) by considering the full nonlinearity. The last treatment is rendered possible by detailed comparison with the pseudolinear case; and it is found that chiral symmetry can be dynamically broken if the effective coupling is strong enough.
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Atkinson et al. (1988) studied this question.
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