RECORD
Finite temperature gluon spectral functions from $N_f=2+1+1$ lattice QCD
High Energy Physics - Lattice · Submitted 30 Jan 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This dispersion relation reveals different in-medium masses for longitudinal and transversal gluons at high temperatures, qualitatively consistent with weak coupling expectations.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We investigate gluon spectral functions at finite temperature in Landau gauge, based on a subset of lattice QCD ensembles with $N_f=2+1+1$ dynamical twisted mass quarks flavors, generated by the tmfT collaboration. Our study uses a novel Bayesian approach for the extraction of non-positive definite spectral functions, which for each binned spatial momentum takes into account the gluon correlation functions at all available discrete imaginary frequencies. The spectral functions are extracted at three different lattice spacing, where for each of them, a scan of temperatures around the crossover transition is carried out at fixed scale. We find indications for the existence of a well defined quasi-particle peak. Due to a relatively small number of imaginary frequencies available, we focus on the momentum and temperature dependence of the position of this spectral feature. This dispersion relation reveals different in-medium masses for longitudinal and transversal gluons at high temperatures, qualitatively consistent with weak coupling expectations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate gluon spectral functions at finite temperature in Landau gauge, based on a subset of lattice QCD ensembles with $N_f=2+1+1$ dynamical twisted mass quarks flavors, generated by the tmfT collaboration. | contribution 0.68 | 0.82 | 0.03 | asserted 0.96 |
| s1 | Our study uses a novel Bayesian approach for the extraction of non-positive definite spectral functions, which for each binned spatial momentum takes into account the gluon correlation functions at all available discrete imaginary frequencies. | method 0.95 | 0.94 | 0.04 | asserted 0.99 |
| s2 | The spectral functions are extracted at three different lattice spacing, where for each of them, a scan of temperatures around the crossover transition is carried out at fixed scale. | method 0.98 | 0.94 | 0.03 | asserted 0.97 |
| s3 | We find indications for the existence of a well defined quasi-particle peak. | result 1.00 | 0.97 | 0.48 | hedged possibility 0.91 |
| s4 | Due to a relatively small number of imaginary frequencies available, we focus on the momentum and temperature dependence of the position of this spectral feature. | limitation 1.00 | 0.77 | 0.04 | asserted 0.95 |
| s5 | This dispersion relation reveals different in-medium masses for longitudinal and transversal gluons at high temperatures, qualitatively consistent with weak coupling expectations. | interpretation 0.65 | 0.93 | 0.55 | hedged possibility 0.72 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We investigate gluon spectral functions at finite temperature in Landau gauge, based on a subset of lattice QCD ensembles with $N_f=2+1+1$ dynamical twisted mass quarks flavors, generated by the tmfT collaboration. Our study uses a novel Bayesian approach for the extraction of non-positive definite spectral functions, which for each binned spatial momentum takes into account the gluon correlation functions at all available discrete imaginary frequencies. The spectral functions are extracted at three different lattice spacing, where for each of them, a scan of temperatures around the crossover transition is carried out at fixed scale. We find indications for the existence of a well defined quasi-particle peak. Due to a relatively small number of imaginary frequencies available, we focus on the momentum and temperature dependence of the position of this spectral feature. This dispersion relation reveals different in-medium masses for longitudinal and transversal gluons at high temperatures, qualitatively consistent with weak coupling expectations.
Human review
References
How the literature uses it
21 arXiv papers cite this in 29 sentences
Papers citing it · 20 sentences without a confident label
Uses its method or tool 1 paper
-
Instead we apply a generalized BR regulator [ref] [equation] The additional model function $h(ω)$ presents the confidence in the default model function $m(ω)$.
Transversal and longitudinal gluon spectral functions from twisted mass lattice QCD with $N_f=2+1+1$ flavors · From Gluon Correlators to Gluon Spectral Functions · 0.98
Compares with it 5 papers
-
Here we also provide a further benchmark test of the present approach at vanishing baryon chemical potential: In fig:inZAlat we compare our results at finite $T$ and $μ_B = 0$ to lattice results on the magnetic gluon dressing function from [ref] based on the tmfT configurations [ref] ; for this simulation setup see also [ref] .
The QCD phase structure at finite temperature and density · Dynamics and sequential decoupling · 0.97
-
This behavior is reminiscent to what has been found in a previous lattice QCD study [ref] .
Reconstructing the gluon · Gluon spectral function reconstruction and benchmarking · 1.00
-
Similar results for the spectral density have been obtained recently with an alternative method [ref] .
Lattice Landau gauge gluon propagator at finite temperature: non-zero Matsubara frequencies and spectral densities · Gluon spectral densities · 0.92
Cites it as support 1 paper
-
This is confirmed by lattice studies that show a slight deviation of the $O(4)$ invariance only for the first Matsubara mode at temperatures just below the critical temperature [ref] .
Non-perturbative finite-temperature Yang-Mills theory · Finite-temperature vertex expansion · 0.97
Cites it as background 2 papers
-
More takes on the analytic structure of gluon and/or quark propagators can be found in $e.g.$ [ref] .
Extracting topological information from momentum space propagators · Conclusions · 1.00
-
Recent work on spectral reconstruction at finite temperature can be found in Refs. [ref] , and while some progress has been made with the reconstruction methods (recent attempts include reconstruction with the Maximum Entropy Method [ref] , Backus-Gilbert method [ref] and its modifications [ref] , a recently formulated Bayesian Reconstruction method [ref] , and stochastic-based analytic continuation techniques [ref] ), it is of primary importance to produce gauge field ensembles that are specifically tuned for addressing the reconstruction problem.
Highly improved staggered quarks on anisotropic lattices · Introduction · 0.93
What it cites · 22 sentences without a confident label
Uses the method or tool of 2 papers
-
Instead we will deploy here a recently developed regulator $S_BR^g$ [ref] , which shares many of the advantageous analytic properties of that used in the standard BR method [equation] Since now $ρ$ and $m$ can both take on the value zero, one uses a different measure for deviation between the default model and the spectrum $r_l=|ρ_l-m_l|/h_l$.
Bayesian inference of non-positive spectral functions in quantum field theory · Bayesian spectral reconstruction · 1.00
-
This procedure has been carried out by means of the cuLGT library [ref] , which we have adapted for the use with lattice configurations in the ILDG format.
Coulomb, Landau and Maximally Abelian Gauge Fixing in Lattice QCD with Multi-GPUs · Lattice simulations and gauge fixing · 1.00
Uses data or values from 5 papers
-
In Ref. [ref] these ensembles have been calibrated with the help of the baryon spectrum, and we adopt these results for the lattice spacing.
Baryon spectrum with $N_f=2+1+1$ twisted mass fermions · Lattice simulations and gauge fixing · 1.00
-
They represent a subset of configurations, which were generated by the tmfT collaboration originally for the study of QCD thermodynamics [ref] in the presence of a heavy doublet of quarks (third and fourth quark species).
Towards thermodynamics with $N_f=2+1+1$ twisted mass quarks · Lattice simulations and gauge fixing · 0.95
-
The tmfT collaboration has adopted three parameter sets for their finite temperature studies from the zero-temperature ensembles used by the ETMC collaboration (under the names A60.24, B55.32 and D45.32 defined in Ref. [ref] ).
Light hadrons from Nf=2+1+1 dynamical twisted mass fermions · Lattice simulations and gauge fixing · 0.98
Compares with 2 papers
-
This simple fit ansatz manages to retrace the values reasonably well and leads to significantly different intercepts, i.e. quasi-particle masses between the lowest and highest temperature: [equation] For comparison purposes we also display (red dashed curve) a recent lattice QCD determination of the Debye mass with $N_f=2+1$ flavors of light HISQ quarks [ref] , which at $T=0.381$GeV coincidentally agrees within errors with the HTL value of $m_D$ evaluated for four massless flavors at the scale $μ=2πT$.
A gauge invariant Debye mass and the complex heavy-quark potential · Longitudinal Spectra · 0.91
-
This simple fit ansatz manages to retrace the values reasonably well and leads to significantly different intercepts, i.e. quasi-particle masses between the lowest and highest temperature: [equation] For comparison purposes we also display (red dashed curve) a recent lattice QCD determination of the Debye mass with $N_f=2+1$ flavors of light HISQ quarks [ref] , which at $T=0.381$GeV coincidentally agrees within errors with the HTL value of $m_D$ evaluated for four massless flavors at the scale $μ=2πT$.
Quarkonium at finite temperature: Towards realistic phenomenology from first principles · Longitudinal Spectra · 0.91
Cites as background 33 papers
-
On the other hand such real-time properties can also be accessed via the spectral functions of the fundamental constituents of QCD, gluons and quarks, see e.g. [ref] .
Bayesian inference of non-positive spectral functions in quantum field theory · Introduction · 0.87
-
On the other hand such real-time properties can also be accessed via the spectral functions of the fundamental constituents of QCD, gluons and quarks, see e.g. [ref] .
Quark spectral properties above Tc from Dyson-Schwinger equations · Introduction · 0.87
-
On the other hand such real-time properties can also be accessed via the spectral functions of the fundamental constituents of QCD, gluons and quarks, see e.g. [ref] .
Analytic structure of the Landau gauge gluon propagator · Introduction · 0.87
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.