TY  - GEN
TI  - Minkowskian Lattice Simulation for Non-Relativistic Quarks in Classical Fields
CY  - Heidelberg
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/28377/
ID  - heidok28377
Y1  - 2020///
AV  - public
A1  - Lehmann, Alexander
N2  - The binding process of quarks in the early time evolution in heavy-ion collisions in the presence of strongly interacting, highly occupied fields is an inherent non-equilibrium phenomenon. Understanding whether such a binding occurs, its time scale and its mechanism is important for predictions of the production of hadrons. Based on the works by Berges et al. [1?3] in the nonequilibrium as well as by Laine et al. [4] in the classical thermal equilibrium, we present a method for the evolution of heavy quark fields in the background of highly occupied gauge fields whose dynamics are obtained from a classical statistical lattice simulation as it is valid within the Colour Glass Condensate framework. We reproduce known results out of as well as in the classical thermal equilibrium. Employing NRQCD for the heavy quark degrees of freedom, we obtain heavy-quarkonium spectra from an in the light fermions quenched Minkowskian lattice simulation. For that we employ a leapfrog-algorithm in the gauge field dynamics, which serves as input for the integration of the heavy-quark propagators which are evolved with the Crank-Nicholson method. We find that the back-coupling of the heavy quarks to the gauge fields is essential for the binding process to occur which is in contrast to the intuition from Euclidean lattice simulations. We present the static potential evaluated in a simulation that was corrected by this back-coupling via the Gauß law. We find in contrast to Laine et al. that this potential obtains a real part which shows clear hints on Debye-screening.
ER  -