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

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

2008-04-19

arxiv.org/abs/0804.3125v4

Nucl.Phys.B828:215-232,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2009.11.016

We consider (2+1)-dimensional Yang-Mills theory on $S^1 \times S^1 \times {\bf R}$ 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.

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