Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-09-02
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice2003(nonzero)
Scientific paper
10.1016/S0920-5632(03)02644-6
We study the deconfinement phase transition in SU(N) gauge theories for $N$=2,3,4,6,8. The transition is first order for $N \ge 3$, with the strength increasing as $N$ increases. We extrapolate $T_c/\sqrt{\sigma}$ to the continuum limit for each $N$, and observe a rapid approach to the large $N$ limit. As $N$ increases the phase transition becomes clear-cut on smaller spatial volumes, indicating the absence of (non-singular) finite volume corrections at $N=\infty$ -- reminiscent of large $N$ reduction. The observed rapid increase of the inter-phase surface tension with $N$ may indicate that for $N=\infty$ the deconfinement transition cannot, in practise, occur.
Lucini Biagio
Teper Michael
Wenger Urs
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