Further discussion of Tomboulis' approach to the confinement problem

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.

arXiv comment18 pages, 2 figures

References in corpus (2)

• On the recent paper on quark confinement by Tomboulis
• Reply to arXiv:0711.4930[hep-th] by Ito and Seiler

Cited by in corpus (4)

• Quark Confinement and the Renormalization Group
• A theorem concerning twisted and untwisted partition functions in U(N) and SU(N) lattice gauge theories
• Generalizing the Tomboulis-Yaffe Inequality to SU(N) Lattice Gauge Theories and General Classical Spin Systems
• Critical discussion of Tomboulis's approach to the confinement problem