Constraining the gauge-fixed Lagrangian in minimal Landau gauge

Maas, Axel

doi:10.21468/scipostphys.8.5.071

Cited by 16 publications

(14 citation statements)

References 67 publications

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“…For the sake of comparison, the functional results were renormalized (in the plots only) to agree with the lattice results at 8 (ghost) and 6 GeV (gluon) Fig. 5 Left: Ghost-gluon vertex dressing function (full kinematic dependence) in comparison to SU (2) lattice data [46]. Right: Threegluon vertex dressing function at the symmetric point in comparison to lattice data [47,48]), see Refs.…”

Section: Solving the Bses: Input And Extrapolationmentioning

confidence: 99%

Higher spin glueballs from functional methods

2021

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We calculate the glueball spectrum for spin up to $$J=$$ J = 4 and positive charge parity in pure Yang–Mills theory. We construct the full bases for $$J=$$ J = 0, 1, 2, 3, 4 and discuss the relation to gauge invariant operators. Using a fully self-contained truncation of Dyson–Schwinger equations as input, we obtain ground states and first and second excited states from extrapolations of the eigenvalue curves. Where available, we find good quantitative agreement with lattice results

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Section: Solving the Bses: Input And Extrapolationmentioning

confidence: 99%

Higher spin glueballs from functional methods

2021

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“…At smaller momenta, the results are not comparable due to the different gauge fixing procedures on the lattice and in functional computations, see e.g. [86,87], as well as the increasing systematic error of the functional computations for momenta p 1 GeV in the deep infrared. Beyond the deep infrared regime, we find that the scaling solution matches the lattice results at intermediate scales p ≈ 1 GeV much better than the decoupling solution obtained from the fRG, see Figure 1a (dressing) and Figure 2 (propagator).…”

Section: A Transverse Correlation Functionsmentioning

confidence: 97%

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

Pawlowski¹,

Schneider²,

Wink³

2022

Preprint

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We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled systems of functional renormalisation group for the momentumdependent ghost and gluon propagator, ghost-gluon, and three-and four-gluon vertex dressings. The equations for both, transverse and longitudinal correlation functions are solved self-consistently: all correlation functions are fed back into the loops. Additionally, we also use the Slavnov-Taylor identities for computing the longitudinal correlation functions on the basis of the above results. Then, the gauge consistency of the solutions is checked by comparing the respective longitudinal correlation functions. We find good agreement of these results, hinting at the gauge consistency of our setup.

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“…For the sake of comparison, the functional results were renormalized to agree with the lattice results at 8 GeV. Right: Ghost-gluon vertex dressing function at the symmetric point in comparison to SU (2) lattice data [53]. Different lines correspond to different decoupling/scaling solutions as explained in the text for physical quantities.…”

Section: Framework and Inputmentioning

confidence: 99%

“…3. Since the precise correspondence of continuum and lattice gauge fixing methods is an open issue [53], we show a selection of functional results and lattice results for one particular prescription to deal with Gribov copies. All employed gluon propagators feature a maximum at p 2 > 0, but they are so shallow for two cases that they are hardly visible in the plots.…”

Section: Framework and Inputmentioning

confidence: 99%

Spectrum of scalar and pseudoscalar glueballs from functional methods

2020

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We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang–Mills theory using a parameter-free fully self-contained truncation of Dyson–Schwinger and Bethe–Salpeter equations. The only input, the scale, is fixed by comparison with lattice calculations. We obtain ground state masses of $$1.9\,\text {GeV}$$ 1.9 GeV and $$2.6\,\text {GeV}$$ 2.6 GeV for the scalar and pseudoscalar glueballs, respectively, and $$2.6\,\text {GeV}$$ 2.6 GeV and $$3.9\,\text {GeV}$$ 3.9 GeV for the corresponding first excited states. This is in very good quantitative agreement with available lattice results. Furthermore, we predict masses for the second excited states at $$3.7\,\text {GeV}$$ 3.7 GeV and $$4.3\,\text {GeV}$$ 4.3 GeV . The quality of the results hinges crucially on the self-consistency of the employed input. The masses are independent of a specific choice for the infrared behavior of the ghost propagator providing further evidence that this only reflects a nonperturbative gauge completion.

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Constraining the gauge-fixed Lagrangian in minimal Landau gauge

Cited by 16 publications

References 67 publications

Higher spin glueballs from functional methods

Higher spin glueballs from functional methods

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

Spectrum of scalar and pseudoscalar glueballs from functional methods

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