Further discussion of Tomboulis' approach to the confinement problem
K. R. Ito, E. Seiler
TL;DR
This paper critically examines Tomboulis' recent attempt to rigorously prove quark confinement in 4D lattice Yang-Mills theory, highlighting gaps and outlining what is needed to complete the proof.
Contribution
It provides a detailed analysis of the gaps in Tomboulis' proof and discusses the steps required to fill these gaps for a complete demonstration.
Findings
Identifies specific gaps in Tomboulis' proof
Outlines necessary steps to address these gaps
Highlights open problems in the confinement proof
Abstract
We discuss in some detail certain gaps and open problems in the recent paper by E. T. Tomboulis, which claims to give a rigorous proof of quark confinement in 4D lattice Yang-Mills theory for all values of the bare coupling. We also discuss what would be needed to fill the gaps in his proof.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics