Spectral and Transport Properties from Lattice QCD

Kaczmarek, Olaf; Shu, Hai-Tao

doi:10.1007/978-3-030-95491-8_8

Cited by 8 publications

(7 citation statements)

References 68 publications

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“…Using lattice QCD, one can effectively simulate QCD at strong coupling and can also access temperatures which are close to the chiral crossover temperature. However, lattice simulations are performed in Euclidean spacetime and the analytic continuation of the correlation functions to Minkowskian spacetime via an inverse Laplace transformation is a notoriously difficult, ill-posed problem [7][8][9]. Recent lattice QCD studies addressing the determination of the thermal photon rate are Refs.…”

Section: Introductionmentioning

confidence: 99%

Estimation of the photon production rate using imaginary momentum correlators

Török¹,

Cè²,

Harris³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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The thermal photon emission rate is determined by the spatially transverse, in-medium spectral function of the electromagnetic current. Accessing the spectral function using Euclidean data is, however, a challenging problem due to the ill-posed nature of inverting the Laplace transform. In this contribution, we present the first results on implementing the proposal of directly computing the analytic continuation of the retarded correlator at fixed, vanishing virtuality of the photon via the calculation of the appropriate Euclidean correlator at imaginary spatial momentum. We employ two dynamical O( )-improved Wilson fermions at a temperature of 250 MeV.

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Section: Introductionmentioning

confidence: 99%

Estimation of the photon production rate using imaginary momentum correlators

Török¹,

Cè²,

Harris³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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“…Work in this direction has been detailed at this conference in talks by M. Cè and P. Fritzsch. This section describes preliminary work toward the spectral reconstruction of the isovector vector 4 ) terms for a fixed energy 𝐸 = 14𝑚. The relative fit ranges of the different smearing kernels are adjusted so that each kernel has an equal amount of support between the two-particle threshold 2𝑚 and 𝐸.…”

Section: Prospects For Qcdmentioning

confidence: 99%

“…current spectral density with the collaborators and setup mentioned in those talks. Using 𝑁 f = 2 + 1 dynamical flavors of stabilized Wilson fermions [17] at 𝑎 = 0.09 fm, two ensembles were generated with (𝐿/𝑎) 4 = 96 4 and 192 4 . The analysis described below is based on two and five thermalized, widely separated configuations on the 𝐿/𝑎 = 96 and 192 ensembles, respectively.…”

Section: Figurementioning

confidence: 99%

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The spectral reconstruction of inclusive rates

Bulava¹

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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A recently re-discovered variant of the Backus-Gilbert algorithm for spectral reconstruction enables the controlled determination of smeared spectral densities from lattice field theory correlation functions. A particular advantage of this approach is the a priori specification of the kernel with which the underlying spectral density is smeared, allowing for variation of its peak position, smearing width, and functional form. If the unsmeared spectral density is sufficiently smooth in the neighborhood of a particular energy, it can be obtained from an extrapolation to zero smearing-kernel width at fixed peak position. A natural application for this approach is scattering processes summed over all hadronic final states. As a proof-of-principle test, an inclusive rate is computed in the two-dimensional O(3) sigma model from a two-point correlation function of conserved currents. The results at finite and zero smearing radius are in good agreement with the known analytic form up to energies at which 40-particle states contribute, and are sensitive to the 4-particle contribution to the inclusive rate. The straight-forward adaptation to compute the 𝑅-ratio in lattice QCD from two-point functions of the electromagnetic current is briefly discussed.

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“…For given PS ( ), Eq. ( 2) can be solved for PS ( ) but the solution is not unique [8,9]. The nature…”

Section: Introductionmentioning

confidence: 99%

Study of charm and beauty in QGP from unquenched lattice QCD

Ali¹,

Bala²,

Kaczmarek³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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We present charmonium and bottomonium correlators and corresponding reconstructed spectral functions from full QCD calculations in the pseudoscalar channel. Correlators are obtained using a mixed-action approach, clover-improved Wilson valence quarks on gauge field configurations generated with = 2 + 1 HISQ sea quarks, with physical strange quark masses and light quark masses corresponding to = 315 MeV. The charm and bottom quark masses are tuned to reproduce the experimental mass spectrum of the spin averaged quarkonium vector mesons from the particle data group [1]. For the spectral reconstruction, we use models based on perturbative spectral functions from different frequency regions like resummed thermal contributions around the threshold from pNRQCD [2] and vacuum contributions well above the threshold [3]. We show preliminary results of the reconstructed spectral function obtained for the first time in our study for full QCD.

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Spectral and Transport Properties from Lattice QCD

Cited by 8 publications

References 68 publications

Estimation of the photon production rate using imaginary momentum correlators

Estimation of the photon production rate using imaginary momentum correlators

The spectral reconstruction of inclusive rates

Study of charm and beauty in QGP from unquenched lattice QCD

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