Abstract
We study the transitions between the different color states of a static quark-antiquark pair, singlet and octet, in a thermal medium. This is done non-perturbatively exploiting the infinite mass limit of QCD. This study is interesting because it can be used for future developments within the framework of Effective Field Theories (EFTs) and because it can be combined with other techniques, like lattice QCD or AdS/CFT, to gain non-perturbative information about the evolution of quarkonium in a medium. We also study the obtained expressions in the large Nc limit. This allows us to learn lessons that are useful to simplify phenomenological models of quarkonium in a plasma.
Highlights
One of the most interesting probes of the medium created in heavy-ion collisions is heavy quarkonium
We study the evolution of operators that transform like singlets or octets made of static quark fields, they are called interpolating fields in the pNRQCD literature [9]
We tried to justify that the study of the static limit can be relevant to understand the physics of real heavy quarkonium
Summary
One of the most interesting probes of the medium created in heavy-ion collisions is heavy quarkonium. There are three mechanism that modify the number of quarkonium states inside of a quark-gluon plasma: colour screening, inelastic collisions with medium particles and recombination. A promising formalism that meets these requirements is that of open quantum systems In this framework, we consider a universe made of heavy quarks and a environment, that is made of light quarks and gluons. Density matrix contains all the information needed to determine the state of the heavy quarks, its evolution is not unitary any more. We expect that the needed non-perturbative medium information can be encoded in expectation values of gauge invariant operators These operators might be computed using lattice QCD or other non-perturbative techniques in the future. A first step in this direction is to study the static limit, defined as the limit in which the heavy quark mass is infinite
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