The SUSY Yang-Mills plasma in a $T$-matrix approach

Abstract

The thermodynamic properties of $\mathcal{N}=1$ supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from non-critical closed superstring theory leads to a prediction for the value of the deconfining temperature $T_c$ that agrees with recent lattice data. The deconfined phase is studied by resorting to a $T$-matrix formulation of statistical mechanics in which the medium under study is seen as a gas of quasigluons and quasigluinos interacting nonperturbatively. Emphasis is put on the temperature range (1-5)~$T_c$, where the interaction are expected to be strong enough to generate bound states. Binary bound states of gluons and gluinos are indeed found to be bound up to 1.4 $T_c$ for any gauge group. The equation of state is then computed numerically for SU($N$) and $G_2$, and discussed in the case of an arbitrary gauge group. It is found to be nearly independent of the gauge group and very close to that of non-supersymmetric Yang-Mills when normalized to the Stefan-Boltzmann pressure and expressed as a function of $T/T_c$.

The main conclusions of our previous versions are unchanged. This version is improved and is a fusion of our papers arXiv:1408.0958v2 and arXiv:1408.4979

References in corpus (23)

• Pinch Technique: Theory and Applications
• Towards the glueball spectrum from unquenched lattice QCD
• Renormalized Polyakov loops in many representations
• Exceptional Deconfinement in G(2) Gauge Theory
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• T-Matrix Approach to Quarkonium Correlation Functions in the QGP
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
• Gluons in glueballs: Spin or helicity?
• About the Casimir scaling hypothesis
• Pion dissociation and Levinson's theorem in hot PNJL quark matter
• Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Phase structure of the N=1 supersymmetric Yang-Mills theory at finite temperature
• Glueball phenomenology and the relativistic flux tube model
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• The low-lying mass spectrum of the N=1 SU(2) SUSY Yang-Mills theory with Wilson fermions
• First study of the three-gluon static potential in Lattice QCD
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• A minimal quasiparticle approach for the QGP and its large-$N_c$ limits
• Thermodynamics of the Quark-Gluon Plasma within a T-matrix approach
• Faddeev calculation of pentaquark ${\Theta }^{+}$ in the Nambu-Jona-Lasinio model-based diquark picture

Cited by in corpus (2)

• S-matrix analysis of the baryon electric charge correlation
• S-matrix formulation of thermodynamics with N-body scatterings