FERMION DOUBLING AND GAUGE-INVARIANCE ON RANDOM LATTICES

Random-lattice fermions have been shown to be free of the doubling pro blem if there are no interactions or interactions of a nongauge nature . On the other hand, gauge interactions impose stringent constraints a s expressed by the Ward-Takahashi identities which could revive the fr ee-field suppressed doubler modes in loop diagrams. Comparing random-l attice, naive, and Wilson fermions in two-dimensional Abelian backgrou nd gauge theory, we show that indeed the doublers are revived for rand om lattices in the continuum limit. Some implications of the persisten t doubling phenomenon on random lattices axe also discussed.