SU(3) thermodynamics on small lattices

The free energy density of the SU(3) gauge theory at temperatures T/T_c = 4/3, 3/2 and 2 is calculated on lattices with temporal extent as small as N_t = 2, 3 and spatial extent N_s = 4 N_t using parametrized fixed point actions. Although cut-off effects are seen, they are hugely suppressed with respect to Wilson and Symanzik-improved actions and at N_t = 3 there is already a good agreement with the continuum limit as extrapolated from the results with the Wilson action at N_t = 6 and 8.

Note:

19 pages (latex text + 6 eps figures) in a uuencoded compressed tar file Report-no: BUTP-96/13

05.70.Ce
11.10.Wx
11.10.Hi
12.38.Gc
12.38.Mh
gauge field theory: SU(3)
lattice field theory: action
energy: density
renormalization group: fixed point
thermodynamics

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