Deconfinement transition and string tensions in SU(4) Yang-Mills Theory

Abstract

We present results from numerical lattice calculations of SU(4) Yang-Mills theory. This work has two goals: to determine the order of the finite temperature deconfinement transition on an $N_t=6$ lattice and to study the string tensions between static charges in the irreducible representations of SU(4). Motivated by Pisarski and Tytgat's argument that a second-order SU($\infty$) deconfinement transition would explain some features of the SU(3) and QCD transitions, we confirm older results on a coarser, $N_t=4$, lattice. We see a clear two-phase coexistence signal, characteristic of a first-order transition, at $8/g^2=10.79$ on a $6\times 20^3$ lattice, on which we also compute a latent heat of $\Delta \epsilon \approx 0.6{\epsilon }_{SB}$. Computing Polyakov loop correlation functions we calculate the string tension at finite temperature in the confined phase between fundamental charges, ${\sigma }_1$, between diquark charges, ${\sigma }_2$, and between adjoint charges ${\sigma }_4$. We find that $1<{\sigma }_2/{\sigma }_1<2$, and our result for the adjoint string tension ${\sigma }_4$ is consistent with string breaking.

10 pages with included figures. For version 2: New calculation and discussion of latent heat added; 2 new figures and 1 new table. Typo in abstract corrected for v3. To appear in Physical Review D

References in corpus (1)

• Light Hadron Spectrum in Quenched Lattice QCD with Staggered Quarks

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