Thermodynamics of image gauge theory in image dimensions Original Research Article

The pressure, and the energy and entropy densities are determined for the image gauge theory in image dimensions from lattice Monte Carlo calculations in the interval image. The finite temperature lattices simulated have temporal extent image, 4, 6 and 8, and spatial volumes image such that the aspect ratio is image. To obtain the thermodynamical quantities, we calculate the averages of the temporal plaquettes image and the spatial plaquettes image on these lattices. We also need the zero temperature averages of the plaquettes image, calculated on symmetric lattices with image. We discuss in detail the finite size (image-dependent) effects. These disappear exponentially. For the zero temperature lattices we find that the coefficient of image in the exponent is of the order of the glueball mass. On the finite temperature lattices it lies between the two lowest screening masses. For the aspect ratio equal to eight, the systematic errors coming from the finite size effects are much smaller than our statistical errors. We argue that in the continuum limit, at high enough temperature, the pressure can be parametrized by the very simple formula image where a and b are two constants. Using the thermodynamical identities for a large homogeneous system, this parametrization then determines the other thermodynamical variables in the same temperature range.