The 3D Yang-Mills system. Lecture notes on the Karabali-Nair theory
Hermann Schulz
TL;DR
This paper reviews the Schroedinger functional approach to 2+1 dimensional Yang-Mills theory, detailing the Karabali-Nair method and discussing key issues like the string tension and magnetic mass in hot gluons.
Contribution
It provides a comprehensive, detailed recapitulation of the Karabali-Nair approach to 2+1 D Yang-Mills theory, including new insights into regularization and physical quantities.
Findings
Clarification of the Hermitean WZW model application
Analysis of the string tension in 2+1 D Yang-Mills
Discussion of the magnetic mass problem in hot gluons
Abstract
The Schroedinger functional treatment of 2+1 D Yang-Mills theory is recapitulated, in great calculational detail, by following three papers of Karabali, Kim and Nair in 1998/99. The notes include the Hermitean WZW model, regularization, the functional Hamiltonian, the string tension and the magnetic mass problem of 4D hot gluons.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Quantum chaos and dynamical systems · Algebraic structures and combinatorial models