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Fermionic Field Theory and Gauge Interactions on Random Lattices

✍ Scribed by C.J. Griffin; T.D. Kieu

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
624 KB
Volume
235
Category
Article
ISSN
0003-4916

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✦ Synopsis

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. 1994 Academic Press, Inc.

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