Thermodynamics of SU(3) gauge theory on anisotropic lattices

Details Thermodynamics of SU(3) gauge theory on anisotropic lattices Thermodynamics of SU(3) gauge theory on anisotropic lattices

2001-05-15

arxiv.org/abs/hep-lat/0105012v2

Phys.Rev.D64:074507,2001

Physics

High Energy Physics

High Energy Physics - Lattice

RevTeX, 21 pages, 17 PS figures. A quantitative test about the benefit of anisotropic lattices added, minor errors corrected.

Scientific paper

10.1103/PhysRevD.64.074507

Finite temperature SU(3) gauge theory is studied on anisotropic lattices using the standard plaquette gauge action. The equation of state is calculated on $16^{3} \times 8$, $20^{3} \times 10$ and $24^{3} \times 12$ lattices with the anisotropy $\xi \equiv a_s / a_t = 2$, where $a_s$ and $a_t$ are the spatial and temporal lattice spacings. Unlike the case of the isotropic lattice on which $N_t=4$ data deviate significantly from the leading scaling behavior, the pressure and energy density on an anisotropic lattice are found to satisfy well the leading $1/N_t^2$ scaling from our coarsest lattice, $N_t/\xi=4$. With three data points at $N_t/\xi=4$, 5 and 6, we perform a well controlled continuum extrapolation of the equation of state. Our results in the continuum limit agree with a previous result from isotropic lattices using the same action, but have smaller and more reliable errors.

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