Higher spin glueballs from functional methods

Huber, Markus Q.; Fischer, Christian; Sanchis-Alepuz, Hèlios

doi:10.1140/epjc/s10052-021-09864-5

Cited by 32 publications

(24 citation statements)

References 58 publications

(95 reference statements)

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“…On a more practical note, calculations such as the one presented herein establish a first step towards ab-initio calculations of hadron properties with functional methods, which do not rely on any parameters except those in the QCD Lagrangian and whose only approximations amount to neglecting higher n-point functions, which makes them systematically improvable. A recent example is the calculation of the glueball spectrum in Yang-Mills theory, which is in agreement with lattice QCD calculations [37,38]. An important goal for future studies will be the extension of such calculations towards full QCD.…”

Section: Discussionsupporting

confidence: 55%

Studying mass generation for gluons

Eichmann¹,

Pawlowski²

2021

Preprint

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In covariant gauges, the gluonic mass gap in Yang-Mills theory manifests itself in the basic observation that the massless pole in the perturbative gluon propagator disappears in nonperturbative calculations, but the origin of this behavior is not yet fully understood. We summarize a recent study of the respective dynamics with Dyson-Schwinger equations in Landau-gauge Yang-Mills theory. We identify the parameter that distinguishes the massive Yang-Mills regime from the massless decoupling solutions, whose endpoint is the scaling solution. Similar to the PT-BFM scheme, we find evidence that mass generation in the transverse sector is triggered by longitudinal massless poles.

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Section: Discussionsupporting

confidence: 55%

Studying mass generation for gluons

Eichmann¹,

Pawlowski²

2021

Preprint

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“…In particular, lattice results for the lightest glueballs have been the benchmark for over twenty years now [1]. These results were confirmed and extended by subsequent lattice computations [2,3] and are also supported by other methods, e.g., [4][5][6][7][8][9][10][11]. For an overview, we refer to the reviews [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 55%

“…This is the rationale why we can use a twobody bound state equation to determine the mass of a complicated object like a glueball. More details are provided in [11]. The resulting Bethe-Salpeter equation (BSE) is given in Fig.…”

Section: Setupmentioning

confidence: 99%

“…As an additional benefit, the complete calculation is now selfcontained and does not depend on any model parameters. In a subsequent calculation, we extended the setup to nonzero spin [11]. In addition, we present here first results for a fully self-consistent calculation of the pseudoscalar glueball by including also the two-loop diagrams.…”

Section: Introductionmentioning

confidence: 99%

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Quenched glueball spectrum from functional equations

Huber,

Fischer,

Sanchis-Alepuz

2021

Preprint

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We give an overview of results for the quenched glueball spectrum from two-body bound state equations based on the 3PI effective action. The setup, which uses self-consistently calculated two-and three-point functions as input, is completely self-contained and does not have any free parameters except for the coupling. The results for J PC = 0 ±+ , 2 ±+ , 3 ±+ , 4 ±+ are in good agreement with recent lattice results where available. For the pseudoscalar glueball, we present first results from a two-loop complete calculation, rendering also the bound state calculation fully self-consistent.

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“…To analytically continue the ω dependence to the entire real axis, we employ the Schlessinger point method (SPM) [66] which has found widespread recent applications as a high-quality tool for analytic continuations into the complex plane, see e.g. [65,[67][68][69][70][71][72][73][74]. It amounts to a continued fraction which is simple to implement by an iterative algorithm.…”

Section: Light-front Wave Functionmentioning

confidence: 99%

Going to the light front with contour deformations

Eichmann,

Ferreira,

Stadler

2021

Preprint

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We explore a new method to calculate the valence light-front wave function of a system of two interacting particles, which is based on contour deformations combined with analytic continuation methods to project the Bethe-Salpeter wave function onto the light front. In this proof-of-concept study, we solve the Bethe-Salpeter equation for a scalar model and find excellent agreement between the light-front wave functions obtained with contour deformations and those obtained with the Nakanishi method frequently employed in the literature. The contour-deformation method is also able to handle extensions of the scalar model that mimic certain features of QCD such as unequal masses and complex singularities. In principle the method is suitable for computing parton distributions on the light front such as PDFs, TMDs and GPDs in the future.

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Higher spin glueballs from functional methods

Cited by 32 publications

References 58 publications

Studying mass generation for gluons

Studying mass generation for gluons

Quenched glueball spectrum from functional equations

Going to the light front with contour deformations

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