The Role of Temperature in a Dimensional Approach to QCD_3

Details The Role of Temperature in a Dimensional Approach to QCD_3 The Role of Temperature in a Dimensional Approach to QCD_3

1995-07-24

arxiv.org/abs/hep-th/9507122v2

Nucl.Phys. B457 (1995) 57-80

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 3 postscript figures. Changes in section 5

Scientific paper

10.1016/0550-3213(95)00531-5

We analyze the role played by temperature in QCD_3 by means of a dimensional interpolating approach. Pure gauge QCD_3 is defined on a strip of finite width L, which acts as an interpolating parameter between two and three dimensions. A two-dimensional effective theory can be constructed for small enough widths giving the same longitudinal physics as QCD_3. Explicit calculations of T-dependent QCD_3 observables can thus be performed. The generation of a deconfinig phase transition, absent in QCD_2, is proven through an exact calculation of the electric or Debye mass at high T. Low and high T behaviors of relevant thermodynamic functions are also worked out. An accurate estimate of the critical temperature is given and its evolution with L is studied in detail.

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