Quasiparticle properties of nonequilibrium gluon plasma
We apply classical gluodynamics to early stages of ultrarelativistic heavy-ion collisions. We start by giving a brief overview of QCD. Then we proceed to the space-time evolution of ultrarelativistic heavy-ion collisions in the color glass condensate framework and go through the basics of real-time gluodynamics on the lattice in the temporal gauge. We study the plasmon mass scale in three- and two-dimensional 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 three-dimensional 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. ...
PublisherUniversity of Jyväskylä
kvanttiväridynamiikka kvarkki-gluoniplasma plasmonit high energy physics nuclear theory quantum chromodynamics lattice gauge theory lattice field theory classical field theory plasmon plasmon mass quasiparticle nonequilibrium classical Yang-Mills theory thermalization hiukkasfysiikka kvanttikenttäteoria
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