arXiv : Probing spectral properties of the QGP with real-time lattice simulations

Boguslavski, Kirill; Lappi, Tuomas; Kurkela, Aleksi; Peuron, Jarkko

doi:10.22323/1.345.0057

Article
Report number	arXiv:1812.06106
Title	Probing spectral properties of the QGP with real-time lattice simulations
Author(s)	Boguslavski, Kirill (Jyvaskyla U.) ; Kurkela, Aleksi (CERN ; Stavanger U.) ; Lappi, Tuomas (Helsinki U. ; Jyvaskyla U.) ; Peuron, Jarkko (ECT, Trento ; Fond. Bruno Kessler, Trento)
Publication	SISSA, 2018-12-15
Imprint	2018-12-14
Number of pages	5
Note	5 pages, 2 figures, Proceedings of the International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions - Hard Probes 2018
In:	PoS HardProbes2018 (2018) 057
In:	Hard Probes 2018: International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions, Aix-les-bains, France, 1 - 5 Oct 2018, pp.057
DOI	10.22323/1.345.0057
Subject category	hep-lat ; Particle Physics - Lattice ; hep-ph ; Particle Physics - Phenomenology
Abstract	We present a new method to obtain spectral properties of a non-Abelian gauge theory in the region where occupation numbers are high. The method to measure the (single-particle) spectral function is based on linear response theory and classical-statistical lattice simulations. Although we apply it to a system far from equilibrium in a self-similar regime, the extracted spectral function can be understood within the hard thermal loop (HTL) formalism and can thus be connected to thermal equilibrium at high temperatures. This allows us to obtain quantities like the lifetime of quasiparticles that are beyond the leading order and difficult to compute within HTL. The approach has the potential to measure transport coefficients, to study the earliest stages of heavy-ion collisions in a controlled way and it can be employed beyond the range of validity of HTL.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: (License: CC-BY-NC-ND-4.0)

${\bf Left:} Illustration of the new method to extract spectral functions on a real-time lattice, as described in \se\ref{sec_method}. {\bf Right:} A quasiparticle excitation shown for $p = 0.7\, \Q$ for different correlation functions. A fit to $a(t,p) / ((\omega - \omega(t,p))^2 + \gamma^2(t,p))$ is included. (figures developed for the highlighted article \cite{Boguslavski:2018beu})$ ${\bf Left:} Spectral function $\rho_T$ as a function of $\Delta t$ and $\omega$. Dashed lines are computed with HTL theory at LO. {\bf Right:} Damping rates $\gamma_{T,L}$ of the quasi-particles in $\rho_{T,L}$ as functions of momentum for different discretizations. The point $\gamma_{\HTL}(p=0)$ is computed using HTL \cite{HTL}. Although consistent with the curves, $\gamma_{\HTL}(p\rightarrow \infty)$ is omitted because of huge error bars due to the magnetic scale. (both figures taken from \cite{Boguslavski:2018beu})$ ${\bf Left:} Spectral function $\rho_T$ as a function of $\Delta t$ and $\omega$. Dashed lines are computed with HTL theory at LO. {\bf Right:} Damping rates $\gamma_{T,L}$ of the quasi-particles in $\rho_{T,L}$ as functions of momentum for different discretizations. The point $\gamma_{\HTL}(p=0)$ is computed using HTL \cite{HTL}. Although consistent with the curves, $\gamma_{\HTL}(p\rightarrow \infty)$ is omitted because of huge error bars due to the magnetic scale. (both figures taken from \cite{Boguslavski:2018beu})$ Show more plots

Corresponding record in: Inspire

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