TL;DR
This paper investigates why the rooting procedure in staggered fermion algorithms leads to unphysical predictions, focusing on how taste averaging affects chiral symmetry and the 't Hooft vertex.
Contribution
It provides a detailed analysis of the origins of unphysical results in rooted staggered fermion algorithms, highlighting the impact of taste averaging on chiral symmetry.
Findings
Rooted staggered fermions' taste averaging forbids correct 't Hooft vertex.
Unphysical predictions stem from the flavor symmetry among tastes.
Rooting procedure disrupts the proper chiral symmetry structure.
Abstract
I explore the origins of the unphysical predictions from rooted staggered fermion algorithms. Before rooting, the exact chiral symmetry of staggered fermions is a flavored symmetry among the four "tastes." The rooting procedure averages over tastes of different chiralities. This averaging forbids the appearance of the correct 't Hooft vertex for the target theory.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research