Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-29
JHEP 0107:014,2001
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 4 figures, LaTeX; comments added, the final version published in JHEP
Scientific paper
10.1088/1126-6708/2001/07/014
In this paper, we consider a reduced supersymmetric Yang-Mills integral with four supercharges by using a Gaussian approximation scheme and its improved version. We calculate the free energy and the expectation values of Polyakov loop and Wilson loop operators by extending the method employed in the bosonic case in the previous paper. Our results nicely match to the exact and the numerical results obtained before. The loop amplitudes exhibit good scaling behaviors similarly as in the bosonic case. The 't Hooft like large $N$ limit leads simple formulas for the case of the loop length smaller. Also, the Polyakov loop and the Wilson loop are computed for the case of the loop length sufficiently large, where we see that the behavior of the Wilson loop reproduces the result simulated for a few smaller values of $N$ at least qualitatively.
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