FERMIONIC FIELD-THEORY AND GAUGE INTERACTIONS 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 non-gauge natur e. However, gauge interactions impose stringent constraints as express ed by the Ward-Takahashi identities which could revive the free-field suppressed doubler modes in loop diagrams. After introducing a formula tion for fermions on a new kind of random lattice, we compare random, naive, and Wilson fermions in two-dimensional Abelian background gauge theory. We show that the doublers are revived for random lattices in the continuum limit, while demonstrating that gauge invariance plays t he critical role in this revival. Some implications of the persistent doubling phenomenon on random lattices are also discussed. (C) 1994 Ac ademic Press, Inc.