Quasiparticle properties of nonequilibrium gluon plasma
We apply classical gluodynamics to early stages of ultrarelativistic heavyion
collisions. We start by giving a brief overview of QCD. Then we proceed to the
spacetime evolution of ultrarelativistic heavyion collisions in the color glass
condensate framework and go through the basics of realtime gluodynamics
on the lattice in the temporal gauge.
We study the plasmon mass scale in three and twodimensional systems by
comparing three diﬀerent methods to measure the mass scale. The methods
are a formula which can be derived from Hard Thermal Loop eﬀective theory at
leading order (HTL), the eﬀective dispersion relation (DR) and measurement
of the plasma oscillation frequency triggered by the introduction of a uniform
electric ﬁeld (UE) into the system. We observe that in both systems the
plasmon mass scale decreases like a power law after an occupation number
dependent initial transient time. In 3 dimensions we observe the power law
to be ω2pl ∼ t−2/7, which is predicted by the literature. In 2 dimensions the
observed power law is ω2pl ∼ t−1/3. In both cases the UE and HTL methods
are in rough agreement, and in the threedimensional case the two agree in
the continuum limit.
As a second way to study the quasiparticle properties, we derive, implement
and test an algorithm which can be used to simulate linearized ﬂuctuations
on top of the classical background. The algorithm is derived by requiring
conservation of Gauss’ law and gauge invariance. We then apply the algorithm
to spectral properties of overoccupied gluodynamics using linear response
theory. We establish the existence of transverse and longitudinal quasiparticles
by extracting their spectral functions. We also extract the dispersion relation,
eﬀective mass, plasmon mass and damping rate of the quasiparticles. Our
results are consistent with the HTL eﬀective theory, but we also observe
eﬀects beyond leading order HTL.
...
Publisher
University of JyväskyläISBN
9789513974992ISSN Search the Publication Forum
0075465XKeywords
kvanttiväridynamiikka kvarkkigluoniplasma plasmonit high energy physics nuclear theory quantum chromodynamics lattice gauge theory lattice field theory classical field theory plasmon plasmon mass quasiparticle nonequilibrium classical YangMills theory thermalization hiukkasfysiikka kvanttikenttäteoria
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