Quarkonium in-medium transport equation derived from first principles

Yao, Xiaojun; Mehen, Thomas

doi:10.1103/physrevd.99.096028

Cited by 116 publications

(103 citation statements)

References 103 publications

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“…In the low temperature regime T E, similar to our approach, the LO cross section for quarkonium formation and dissociation is derived from the Lindblad equation in ref. [86]. In ref.…”

Section: Jhep09(2020)086mentioning

confidence: 99%

Dark matter bound-state formation at higher order: a non-equilibrium quantum field theory approach

Binder

Blobel

Harz

et al. 2020

J. High Energ. Phys.

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The formation of meta-stable dark matter bound states in coannihilating scenarios could efficiently occur through the scattering with a variety of Standard Model bath particles, where light bosons during the electroweak cross over or even massless photons and gluons are exchanged in the t-channel. The amplitudes for those higher-order processes, however, are divergent in the collinear direction of the in- and out-going bath particles if the mediator is massless. To address the issue of collinear divergences, we derive the bound-state formation collision term in the framework of non-equilibrium quantum field theory. The main result is an expression for a more general cross section, which allows to compute higher-order bound-state formation processes inside the primordial plasma background in a comprehensive manner. Based on this result, we show that next-to-leading order contributions, including the bath-particle scattering, are i) collinear finite and ii) generically dominate over the on-shell emission for temperatures larger than the absolute value of the binding energy. Based on a simplified model, we demonstrate that the impact of these new effects on the thermal relic abundance is significant enough to make it worthwhile to study more realistic coannihilation scenarios.

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“…In the low temperature regime T E, similar to our approach, the LO cross section for quarkonium formation and dissociation is derived from the Lindblad equation in ref. [86]. In ref.…”

Section: Jhep09(2020)086mentioning

confidence: 99%

Dark matter bound-state formation at higher order: a non-equilibrium quantum field theory approach

Binder

Blobel

Harz

et al. 2020

J. High Energ. Phys.

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“…It is important to keep in mind that when we solve a Schrödinger equation with this potential, the resulting correlation function can be used to straightforwardly compute the in-medium quarkonium spectral function. The question of how to relate this complex-valued potential to the real-time evolution of the wavefunction is an active field of research, and recent progress has been made by considering the concept of open-quantum-systems [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Improved Gauss law model and in-medium heavy quarkonium at finite density and velocity

Lafferty

Rothkopf

2020

Phys. Rev. D

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We explore the in-medium properties of heavy-quarkonium states at finite baryo-chemical potential and finite transverse momentum based on a modern complex valued potential model. Our starting point is a novel, rigorous derivation of the generalized Gauss law for in-medium quarkonium, combining the non-perturbative physics of the vacuum bound state with a weak coupling description of the medium degrees of freedom. Its relation to previous models in the literature is discussed. We show that our approach is able to reproduce the complex lattice QCD heavy quark potential even in the non-perturbative regime, using a single temperature dependent parameter, the Debye mass m D . After vetting the Gauss law potential with state-of-the-art lattice QCD data, we extend it to the regime of finite baryon density and finite velocity, currently inaccessible to first principles simulations. In-medium spectral functions computed from the Gauss law potential are subsequently used to estimate the ψ /J/ψ ratio in heavy-ion collisions at different beam energies and transverse momenta. We find qualitative agreement with the predictions from the statistical model of hadronization for the √ s N N dependence and a mild dependence on the transverse momentum.

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“…Many different phenomenological approaches are currently used to describe quarkonium data. Some are based on Schrödinger equation with the in-medium complex potential [23][24][25][26] and others based on kinetic Boltzmann equations with chemical reactions between a quarkonium and an unbound heavy quark pair in the QGP [27][28][29][30][31][32][33]. It remains, however, an open question how to derive the dynamical evolution of heavy quarkonium systematically from QCD.…”

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confidence: 99%

Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma

et al. 2020

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In this paper we study the real-time evolution of heavy quarkonium in the quark-gluon plasma (QGP) on the basis of the open quantum systems approach. In particular, we shed light on how quantum dissipation affects the dynamics of the relative motion of the quarkonium state over time. To this end we present a novel non-equilibrium master equation for the relative motion of quarkonium in a medium, starting from Lindblad operators derived systematically from quantum field theory. In order to implement the corresponding dynamics, we deploy the well established quantum state diffusion method. In turn we reveal how the full quantum evolution can be cast in the form of a stochastic non-linear Schrödinger equation. This for the first time provides a direct link from quantum chromodynamics (QCD) to phenomenological models based on nonlinear Schrödinger equations. Proof of principle simulations in one-dimension show that dissipative effects indeed allow the relative motion of the constituent quarks in a quarkonium at rest to thermalize. Dissipation turns out to be relevant already at early times well within the QGP lifetime in relativistic heavy ion collisions. I. INTRODUCTIONOver the past decades, properties of nuclear matter in extreme conditions have been vigorously studied both experimentally and theoretically.At modern collider facilities, such as the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC), heavy nuclei are collided at ultrarelativistic energy to create a multiparticle system in the collision center, endowed with an extremely high energy density.A multitude of measurements suggest that the energy densities reached are high enough that a new phase of nuclear matter, the "quark-gluon plasma (QGP)" is realized [1-3].On the theory side significant progress has been made in understanding the thermodynamic, i.e. static properties of the QGP at the temperatures reached in heavy ion collisions at which QCD dynamics is still nonperturbative. Lattice QCD simulations have played a central role in this regard shedding light on e.g. the crossover transition temperature [4,5], the physics of static screening in QCD [6,7] and the equilibrium spectral properties of heavy *

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Quarkonium in-medium transport equation derived from first principles

Cited by 116 publications

References 103 publications

Dark matter bound-state formation at higher order: a non-equilibrium quantum field theory approach

Dark matter bound-state formation at higher order: a non-equilibrium quantum field theory approach

Improved Gauss law model and in-medium heavy quarkonium at finite density and velocity

Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma

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