Supersymmetric plasma systems and their nonsupersymmetric counterparts

Abstract

In this thesis a systematic comparison of supersymmetric plasma systems and their nonsupersymmetric counterparts is presented. The work is motivated by the AdS/CFT correspondence and the main aim is to check how much the plasma governed by the N=4 super Yang-Mills theory resembles the quark-gluon plasma studied experimentally in relativistic heavy-ion collisions. The analysis is done in a weak coupling regime where perturbative methods are applicable. Since the Keldysh-Schwinger approach is used, not only equilibrium but also nonequilibrium plasmas, which are assumed to be ultrarelativistic, are under consideration. First, using the functional techniques we introduce Faddeev-Popov ghosts into the Keldysh-Schwinger formalism of nonAbelian gauge theories. Next the collective excitations of the N=1 SUSY QED plasma are considered and compared to those of the usual QED system. The analysis is repeated to confront with each other the plasmas governed by the N=4 super Yang-Mills and QCD theories. Finally, transport properties of the systems are also discussed. Since both collective excitations and transport characteristics of supersymmetric and nonsupersymmetric plasmas are very similar to each other we conclude that supersymmetric plasma systems are qualitatively the same as their nonsupersymmetric partners in weak coupling regime. The quantitative differences mostly reflect different numbers of degrees of freedom.

PhD thesis, 170 pages

References in corpus (18)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD transition temperature: results with physical masses in the continuum limit
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Calculating the Jet Quenching Parameter from AdS/CFT
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• Universal attractor in a highly occupied non-Abelian plasma
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Shear viscosity in weakly coupled $\mathcal{N}=4$ Super Yang-Mills theory compared to QCD
• Massless Mode and Positivity Violation in Hot QCD
• Jet quenching and broadening: the transport coefficient $\hat{q}$ in an anisotropic plasma
• What Do Electromagnetic Plasmas Tell Us about Quark-Gluon Plasma?
• Fermionic Collective Modes of an Anisotropic Quark-Gluon Plasma
• Zero mode in a strongly coupled quark gluon plasma
• On the dispersion of fundamental particles in QCD and N=4 Super Yang-Mills theory
• Ultra-soft fermionic excitation at finite chemical potential