Introductory lecture notes on the Karabali-Nair theory
H. Schulz
TL;DR
This paper reviews the Schrödinger functional approach to 2+1 dimensional Yang-Mills theory, focusing on the Karabali-Nair framework, the Hermitean WZW model, and the calculation of the mass gap.
Contribution
It provides an accessible summary of the Karabali-Nair method for analyzing the mass gap in 2+1 D Yang-Mills theory, including detailed calculations and invariant presentation.
Findings
Recapitulates the Schrödinger functional treatment of 2+1 D Yang-Mills
Includes the Hermitean WZW model in the analysis
Calculates the lowest eigenvalue (mass gap) of the kinetic energy
Abstract
The Schroedinger functional treatment of 2+1 D Yang-Mills theory (related to the magnetic mass problem of 4D hot gluons) is recapitulated by following Karabali, Kim and Nair in Nucl. Phys. B 524 (1998) 661 (first half). The notes include the Hermitean WZW model and end up with the lowest eigenvalue (mass gap) of the functional kinetic energy. Let calculational details be invariant under the (german) language used.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · Particle physics theoretical and experimental studies