Two Dimensional Quantum Chromodynamics as the Limit of Higher Dimensional Theories

Details Two Dimensional Quantum Chromodynamics as the Limit of Higher Dimensional Theories Two Dimensional Quantum Chromodynamics as the Limit of Higher Dimensional Theories

1994-07-20

arxiv.org/abs/hep-th/9407123v1

Phys.Lett. B341 (1995) 342-348

Physics

High Energy Physics

High Energy Physics - Theory

12 pages written in LaTeX, figure available from the authors, preprint Univ. of Valencia, FTUV/94-41

Scientific paper

10.1016/0370-2693(94)01295-N

We define pure gauge $QCD$ on an infinite strip of width $L$. Techniques similar to those used in finite $TQCD$ allow us to relate $3D$-observables to pure $QCD_2$ behaviors. The non triviality of the $L \arrow 0$ limit is proven and the generalization to four dimensions described. The glueball spectrum of the theory in the small width limit is calculated and compared to that of the two dimensional theory.

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