Vector-like Fermion Doubling and Pair-creation on a lattice
She-Sheng Xue
TL;DR
This paper links the fermion-doubling problem in lattice quantum field theories to pair-creation of massless fermions, highlighting a fundamental connection rooted in quantum fluctuations and the Pauli principle.
Contribution
It provides a novel conceptual explanation connecting fermion doubling to pair-creation phenomena based on quantum principles.
Findings
Fermion doubling is related to pair-creation of massless fermions.
Quantum fluctuations induce pair-creation at zero energy level.
The Pauli principle underpins the fermion-doubling phenomenon.
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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Taxonomy
TopicsSpectral Theory in Mathematical Physics