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The fermion four-point functions and condensates as the chiral symmetry orderparameters are calculated analytically in U(1) gauge theory in the masslessphase. It is shown that in leading order of the loop expansion of the effectiveaction, there is a critical coupling for the nonperturbative parity-invariantchirality-changing four-fermion functions; this critical coupling however isthe same as that for dynamical mass generation. Therefore there is no breakingof chiral symmetry through the condensation of four-fermion functions below thecritical coupling for dynamical mass generation for the fermions.Comment: 28 pages and 1 postscript figure, REVTe

Four-body chiral order parameters in the massless fermion phase