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Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories

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arxiv 2108.06921 v2 pith:6NWLLZN3 submitted 2021-08-16 nucl-th cond-mat.quant-gashep-phnucl-exquant-ph

Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories

classification nucl-th cond-mat.quant-gashep-phnucl-exquant-ph
keywords symmetrydynamicsgaugemodelnovelpotentialquarkoniaquarkonium
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Decoherence dynamics of quarkonia is studied in the high-temperature deconfined phase of SU($N_c$) gauge theories. In particular, we analyze the symmetry properties of SU($N_c$) stochastic potential model and find a novel "event-by-event" symmetry for $N_c=2$ case, similar to the $G$-parity of hadronic systems. This novel symmetry constrains the relation between diagonal and off-diagonal components of quarkonium density matrix, leaving the latter to be finite at late times. We also present one-dimensional numerical simulation of the model, which indicates the usefulness of the complex potential simulations for the quarkonium survival probabilities in relativistic heavy-ion collisions, provided that the effect of dissipation can be neglected.

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