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

Lafferty, David C.; Rothkopf, Alexander

doi:10.1103/physrevd.101.056010

Cited by 66 publications

(113 citation statements)

References 76 publications

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“…The screening length has been evaluated via the real-part of the heavy quark potential (see e.g. [68][69][70]) and the heavy quark free energies (see e.g. [71,72]) in various lattice QCD simulations.…”

Section: Phenomenological Implication To Heavy Ion Collision Expermentioning

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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Section: Phenomenological Implication To Heavy Ion Collision Expermentioning

confidence: 99%

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

et al. 2020

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“…[38,40,41,[46][47][48][49][50][51][52]. The presence of magnetic fields [53][54][55][56][57][58][59][60][61] or non-zero fluid velocity [62][63][64][65][66][67][68][69] also works as a source of anisotropy. Among such non-equilibrium situations, the role the bulk viscosity is gaining an increasing attention in relation to the beam energy scan program [70], since the bulk viscous effect is expected to be enhanced as the system approaches a critical point [71][72][73].…”

Section: Introductionmentioning

confidence: 99%

“…The perturbative HTL gluon propagators only gives rise to the Coulombic potential, but non-perturbative string-like contributions have been observed in lattice QCD studies [75][76][77]. There has been several proposed prescriptions as to how to incorporate non-perturbative contributions in the potential [44,49,69,78,79]. Among those is an approach based on the linear response theory: the modified string-like potential is obtained by modifying the linear potential using the HTL permittivity that entails the medium effect.…”

Section: Introductionmentioning

confidence: 99%

Heavy quarkonia in a bulk viscous medium

Thakur

Haque

Hirono

2020

J. High Energ. Phys.

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We study the properties of heavy quarkonia in a quark gluon plasma in the presence of bulk viscous effects. Within the hard thermal loop approximation at one-loop, the dielectric permittivity of a quark gluon plasma is computed, where the bulk viscous effect enters through the deformation of the distribution functions of thermal quarks and gluons. Based on the modified dielectric permittivity, we compute the in-medium heavy quark potential, that includes non-pertubative string-like terms as well as the perturbative Coulombic term. We discuss how the bulk viscous effect modify the real and imaginary parts of the in-medium potential. Several prescriptions are examined as to how to include the string-like non-perturbative potentials. Using the deformed potential, we compute the wave functions, binding energies, and decay widths of heavy quarkonia in a bulk viscous medium, and study their sensitivity to the strength of the bulk viscous effect. An estimate of the melting temperatures is given.

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“…There are, however, other processes that may cause the depopulation of the resonance states either through the transition from ground state to the excited states during the nonadiabatic evolution of quarkonia [23] or through the swelling or shrinking of states due to the Brownian motion of QQ states in the parton plasma [24]. Very recently the change in the properties of heavy quarkonia immersed in a weakly coupled thermal QCD medium has been described by hard thermal loop (HTL) permittivity [25]. They used the generalized Gauss law in conjunction with linear response theory to obtain the real and imaginary parts of the heavy quark potential, where a logarithmic divergence in the imaginary part is found due to string contribution at large r. They have circumvented by regularizing the weak infrared diverging (1=p) term in the resummed gluon propagator by choosing the regulation scale in terms of Debye mass.…”

Section: Introductionmentioning

confidence: 99%

Dissociation of heavy quarkonia in a weak magnetic field

Hasan

Patra

2020

Phys. Rev. D

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We examined the effects of the weak magnetic field on the properties of heavy quarkonia immersed in a thermal medium of quarks and gluons and studied how the magnetic field affects the quasifree dissociation of quarkonia in the aforementioned medium. For that purpose, we have revisited the general structure of gluon self-energy tensor in the presence of a weak magnetic field in thermal medium and obtained the relevant structure functions using the imaginary-time formalism. The structure functions give rise to the real and imaginary parts of the resummed gluon propagator, which further give the real and imaginary parts of the dielectric permittivity. The real and imaginary parts of the dielectric permittivity will be used to evaluate the real and imaginary parts of the complex heavy quark potential. We have observed that the real part of the potential is found to be more screened, whereas the magnitude of the imaginary part of the potential gets increased on increasing the value of both temperature and magnetic field. In addition to this, we have observed that the real part gets slightly more screened while the imaginary part gets increased in the presence of a weak magnetic field as compared to their counterparts in the absence of a magnetic field (pure thermal). The increase in the screening of the real part of the potential leads to the decrease of binding energies of J=Ψ and ϒ, whereas the increase in the magnitude of the imaginary part leads to the increase of thermal width with the temperature and magnetic field both. Also the binding energy and thermal width in the presence of a weak magnetic field become smaller and larger, respectively, as compared to that in the pure thermal case. With the observations of binding energy and thermal width in hand, we have finally obtained the dissociation temperatures for J=Ψ and ϒ, which become slightly lower in the presence of a weak magnetic field. For example, with eB ¼ 0m 2 π the J=ψ and ϒ are dissociated at 1.80T c and 3.50T c , respectively, whereas with eB ¼ 0.5m 2 π they dissociated at slightly lower values 1.74T c and 3.43T c , respectively. This observation leads to the slightly early dissociation of quarkonia because of the presence of a weak magnetic field.

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

Cited by 66 publications

References 76 publications

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

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

Heavy quarkonia in a bulk viscous medium

Dissociation of heavy quarkonia in a weak magnetic field

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