Vector-like Fermion Doubling and Pair-creation on a lattice

Abstract

Based on the Pauli principle and Heisenberg uncertainty relationship, we show that the phenomenon of vectorlike fermion-doubling in quantum field theories on a lattice is related to the phenomenon of pair-creation of massless fermions, due to quantum-field fluctuations upon the zero-energy level of the ground state of regularized quantum field theories on the lattice.

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