Fermionic field theory and large gauge interactions on random lattices

DOI10.1006/APHY.1994.1095zbMATH Open0806.58061arXivhep-lat/9307011OpenAlexW3103299231MaRDI QIDQ1338698

V. Pereyra

Publication date: 14 February 1995

Published in: Annals of Physics (Search for Journal in Brave)

Abstract: Random-lattice fermions have been shown to be free of the doubling problem if there are no interactions or interactions of a non-gauge nature. However, gauge interactions impose stringent constraints as expressed by the Ward-Takahashi identities which could revive the free-field suppressed doubler modes in loop diagrams. After introducing a formulation 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 the critical role in this revival. Some implications of the persistent doubling phenomenon on random lattices are also discussed.

Full work available at URL: https://arxiv.org/abs/hep-lat/9307011

zbMATH Keywords

fermionsgauge interactionsrandom lattices

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Quantum field theory on lattices (81T25)

Related Items (4)

Large deviations in weakly interacting fermions: Generating functions as Gaussian Berezin integrals and bounds on large Pfaffians ⋮ Lattice Landau gauge with stochastic quantisation ⋮ Generalized random phase approximation and gauge theories. ⋮ Differential renormalisation flow in random lattice gauge theories.

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