On the deconfining limit in (2+1)-dimensional Yang-Mills theory

Abstract

We consider (2+1)-dimensional Yang-Mills theory on $S^1\times S^1\times \mathbf{R}$ in the framework of a Hamiltonian approach developed by Karabali, Kim and Nair. The deconfining limit in the theory can be discussed in terms of one of the $S^1$ radii of the torus ($S^1\times S^1$), while the other radius goes to infinity. We find that the limit agrees with the previously known result for a dynamical propagator mass of a gluon. We also make comparisons with numerical data.

21 pages; v2. lattice data references updated, comparative statements revised; v3. minor corrections; v4. section 6 extended, published version

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Cited by in corpus (5)

• The Hamiltonian Analysis for Yang-Mills Theory on $R\times S^2$
• Application of abelian holonomy formalism to the elementary theory of numbers
• The Hamiltonian Approach to Yang-Mills (2+1): An Update and Corrections to String Tension
• Abelian Chern-Simons theory on the torus and physical views on the Hecke operators
• Some properties of zero-mode wave functions in abelian Chern-Simons theory on the torus