Massless Fermions on the Lattice
V.M. Belyaev
TL;DR
This paper explores a nonlocal lattice action for fermions that avoids fermion doubling in free theories but fails to replicate continuum gauge field results due to high-frequency mode issues.
Contribution
It introduces a nonlocal lattice fermion action that prevents doubling but highlights limitations in reproducing continuum gauge field effects.
Findings
Fermion doubling can be avoided with a nonlocal action.
High-frequency fermion modes affect gauge field effective actions.
The approach does not match continuum results for gauge theories.
Abstract
We consider a nonlocal lattice action for fermions fermion doubling in lattice theories. It is shown, that it is possible to avoid the fermionic doubling in the case of free fermions, but this approach does not reproduce results for the effective action for gauge fields in the continuum theory, because the high frequency fermion modes have a strong dependence on the gauge field.
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Taxonomy
TopicsSuperconducting Materials and Applications · Physics of Superconductivity and Magnetism · Quantum Chromodynamics and Particle Interactions