Proper heavy-quark potential in a spectral decomposition from the thermal Wilson loop

Some time ago, Cuniberti et al. have proposed a novel method for analytically continuing thermal imaginarytime correlators to real time, which requires no model input and should be applicable with finite-precision data as well. Given that these assertions go against common wisdom, we report on a naive test of the method with an idealized example. We do encounter two problems, which we spell out in detail; this implies that systematic errors are difficult to quantify. On a more positive note, the method is simple to implement and allows for an empirical recipe by which a reasonable qualitative estimate for some transport coefficient may be obtained, if statistical errors of an ultravioletsubtracted imaginary-time measurement can be reduced to roughly below the per mille level.

show abstract

“…Refs. [5][6][7][8][9][10][11]; similar discussions continue also in the context of condensed matter physics problems, see e.g. Ref.…”

Section: Introductionmentioning

confidence: 58%

A test on analytic continuation of thermal imaginary-time data

2011

View full text Add to dashboard Cite

show abstract

“…One strategy, proposed in [32] and applied for the first time in [33] to circumvent this problem is to resort to a spectral decomposition of the Wilson loop, which simply amounts to a Fourier transform over a positive definite spectral function ρ…”

Section: The Complex In-medium Potential From Lattice Qcdmentioning

confidence: 99%

Quarkonium at finite temperature: towards realistic phenomenology from first principles

Burnier

Kaczmarek

Rothkopf

2015

J. High Energ. Phys.

136

View full text Add to dashboard Cite

We present the finite temperature spectra of both bottomonium and charmonium, obtained from a consistent lattice QCD based potential picture. Starting point is the complex in-medium potential extracted on full QCD lattices with dynamical u,d and s quarks, generated by the HotQCD collaboration. Using the generalized Gauss law approach, vetted in a previous study on quenched QCD, we fit Re[V ] with a single temperature dependent parameter m D , the Debye screening mass, and confirm the up to now tentative values of Im [V ]. The obtained analytic expression for the complex potential allows us to compute quarkonium spectral functions by solving an appropriate Schrödinger equation. These spectra exhibit thermal widths, which are free from the resolution artifacts that plague direct reconstructions from Euclidean correlators using Bayesian methods. In the present adiabatic setting, we find clear evidence for sequential melting and derive melting temperatures for the different bound states. Quarkonium is gradually weakened by both screening (Re [V ]) and scattering (Im[V ]) effects that in combination lead to a shift of their in-medium spectral features to smaller frequencies, contrary to the mass gain of elementary particles at finite temperature.

show abstract

“…Evaluating the real-time Wilson loop and thus V EFT (r) in perturbation theory [16,38,44], in AdS/CFT [48] and on the lattice [49][50][51] revealed that in general it takes on complex values at finite temperature. In the QGP, i.e.…”

Section: Jhep04(2014)085mentioning

confidence: 99%

A first look at Bottomonium melting via a stochastic potential

Rothkopf

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We investigate the phenomenon of Bottomonium melting in a thermal quarkgluon plasma using three-dimensional stochastic simulations based on the concept of openquantum systems. In this non-relativistic framework, introduced in [1], which makes close contact to the potentials derived in effective field theory, the bb system evolves unitarily under the incessant kicks by the constituents of the surrounding heat bath. In particular thermal fluctuations and the presence of a complex potential in the EFT are naturally related. An intricate interplay between state mixing and thermal excitations emerges as we show how non-thermal initial conditions of Bottomonium states evolve over time. We emphasize that the dynamics of these states gives us access to information beyond what is encoded in the thermal Bottomonium spectral functions. Assumptions underlying our approach and their limitations, as well as the refinements necessary to connect to experimental measurements under more realistic conditions are discussed.

show abstract

Proper heavy-quark potential in a spectral decomposition from the thermal Wilson loop

Cited by 16 publications

References 8 publications

A test on analytic continuation of thermal imaginary-time data

A test on analytic continuation of thermal imaginary-time data

Quarkonium at finite temperature: towards realistic phenomenology from first principles

A first look at Bottomonium melting via a stochastic potential

Contact Info

Product

Resources

About