The high temperature phase transition in SU(N) gauge theories

By Biagio Lucini, M. Teper, U. Wenger. 2003

234 citations recorded by the source corpus.

We calculate the continuum value of the deconfining temperature in units of the string tension for SU(4), SU(6) and SU(8) gauge theories, and we recalculate its value for SU(2) and SU(3). We find that the N-dependence for 2 ≤ N ≤ 8 is well fitted by Tc/√σ = 0.596(4)+0.453(30)/N2, showing a rapid convergence to the large-N limit. We confirm our earlier result that the phase transition is first order for N ≥ 3 and that it becomes stronger with increasing N. We also confirm that as N increases the finite volume corrections become rapidly smaller and the phase transition becomes visible on ever smaller volumes. We interpret the latter as being due to the fact that the tension of the domain wall that separates the confining and deconfining phases increases rapidly with N. We speculate on the connection to Eguchi-Kawai reduction and to the idea of a Master Field.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f4b209a2f430c185b552cfdfe3fc6c34ee61fa20

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Citations in the corpus

theta dependence of SU(N) gauge theories in the presence of a topological term (2007, methodology): “ of topological properties at ﬁnite temperature, and in particular their change at the ﬁnite-temperature deconﬁning transition, which is ﬁrst order for N≥ 3, and second order for N= 2; see e.g. Refs. [376,377,380] and references therein. At high temperature, T≫ Tc where Tc is the transition temperat”
The Hagedorn - deconfinement phase transition in weakly coupled large N gauge theories (2004, background): “However, the SU(N) deconfinement phase transitions for N ≥ 4 (at least for N = 4, 5, 6) also appear to be first order; in particular the U(1) invariant (d = 3 XY fixed point) appears not to be attained in pure Yang-Mills(17) (see, for instance, [25], but see also [26]).”
Improved holographic Yang–Mills at finite temperature: Comparison with data (2009, background): “[26], in which results for Nc = 8 do not different significantly from those for Nc = 3.”
The phase diagram of dense QCD (2010, background): “Recent studies of the pure gluonic theory with Nc = 4, 6, 8, 10 indicate that the transition is of first order for Nc 3 and becomes stronger as Nc increases [74, 75].”
First order deconfinement transition in large N Yang-Mills theory on a small S 3 (2005, unknown): “In particular, using the currently available analytic techniques it is not possible to determine even the order of the transition for N 6= 3; lattice simulations suggest that the transition is of second order for N = 2 and of first order for N ≥ 3 (see [1,2] for the latest results for N > 3).”