Towards the infrared limit in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>Landau gauge lattice gluodynamics

Sternbeck, André; Ilgenfritz, Ernst-Michael; Müller–Preussker, M.; Schiller, A.

doi:10.1103/physrevd.72.014507

Cited by 151 publications

(272 citation statements)

References 38 publications

Supporting

Mentioning

250

Contrasting

Unclassified

Order By: Relevance

“…Using ansätze for the three-and four-point vertices of the theory, first self-consistent solutions for the gluon and quark propagator have been obtained in [222]. Modern truncations also include numerical solutions for the three-and four-point functions [209,215,216] whose results compare well with those from lattice QCD [199,[223][224][225][226][227]. The typical behaviour of the quark mass function for different quark flavours is shown in the right panel of Fig.…”

Section: Munczek-nemirovsky Modelsupporting

confidence: 63%

“…This can be seen in the left diagram of Fig. 3.4, where we compare recent results from DSEs [209] and gauge-fixed lattice calculations [199,228]. The gluon propagator has been studied intensely in the past both on the lattice, with DSEs and the FRG due to its supposed connection with confinement of the non-Abelian gauge theory, see e.g.…”

Section: Munczek-nemirovsky Modelmentioning

confidence: 87%

“…in [149,150,196,197]. We note here only that, fortunately, it turns out that the associated 'Gribov copies' [198] are only relevant for momenta below ∼ 100 MeV [199,200], so their impact upon the calculation of observable quantities is in practice very small compared to other sources of errors, see e.g. [201].…”

Section: Dyson-schwinger Equations (Dses)mentioning

confidence: 99%

“…[205,206,209,215,216,226,237,238] and references therein. In the numerical calculations it turned out that the tensor structure of the bare vertex, [209] and compared to lattice calculations [199,228]. Center: Leading dressing function of the three-gluon vertex evaluated on a symmetric momentum configuration [206].…”

Section: Munczek-nemirovsky Modelmentioning

confidence: 99%

See 3 more Smart Citations

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

View full text Add to dashboard Cite

We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

show abstract

Section: Munczek-nemirovsky Modelsupporting

confidence: 63%

Section: Munczek-nemirovsky Modelmentioning

confidence: 87%

Section: Dyson-schwinger Equations (Dses)mentioning

confidence: 99%

Section: Munczek-nemirovsky Modelmentioning

confidence: 99%

See 2 more Smart Citations

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

View full text Add to dashboard Cite

show abstract

“…In order to renormalize the equation, first we define the bare and renormalized quantities as follows: 24) and the fundamental QED-like relation…”

Section: Renormalizationmentioning

confidence: 99%

Gluon mass generation in the PT-BFM scheme

Aguilar

Papavassiliou

2006

J. High Energy Phys.

195

316

View full text Add to dashboard Cite

In this article we study the general structure and special properties of the Schwinger-Dyson equation for the gluon propagator constructed with the pinch technique, together with the question of how to obtain infrared finite solutions, associated with the generation of an effective gluon mass. Exploiting the known all-order correspondence between the pinch technique and the background field method, we demonstrate that, contrary to the standard formulation, the non-perturbative gluon self-energy is transverse order-byorder in the dressed loop expansion, and separately for gluonic and ghost contributions. We next present a comprehensive review of several subtle issues relevant to the search of infrared finite solutions, paying particular attention to the role of the seagull graph in enforcing transversality, the necessity of introducing massless poles in the three-gluon vertex, and the incorporation of the correct renormalization group properties. In addition, we present a method for regulating the seagull-type contributions based on dimensional regularization; its applicability depends crucially on the asymptotic behavior of the solutions in the deep ultraviolet, and in particular on the anomalous dimension of the dynamically generated gluon mass. A linearized version of the truncated Schwinger-Dyson equation is derived, using a vertex that satisfies the required Ward identity and contains massless poles belonging to different Lorentz structures. The resulting integral equation is then solved numerically, the infrared and ultraviolet properties of the obtained solutions are examined in detail, and the allowed range for the effective gluon mass is determined. Various open questions and possible connections with different approaches in the literature are discussed.

show abstract

Introduction to the Functional RG and Applications to Gauge Theories

Gies

2012

Lecture Notes in Physics

391

490

View full text Add to dashboard Cite

PrologueThis lecture course 1 is intended to fill the gap between graduate courses on quantum field theory and specialized reviews or forefront-research articles on functional renormalization group approaches to quantum field theory and gauge theories.These lecture notes are meant for advanced students who want to get acquainted with modern renormalization group (RG) methods as well as functional approaches to quantum gauge theories. In the first lecture, the functional renormalization group is introduced with a focus on the flow equation for the effective average action. The second lecture is devoted to a discussion of flow equations and symmetries in general, and flow equations and gauge symmetries in particular. The third lecture deals with the flow equation in the background formalism which is particularly convenient for analytical computations of truncated flows. The fourth lecture concentrates on the transition from microscopic to macroscopic degrees of freedom; even though this is discussed here in the language and the context of QCD, the developed formalism is much more general and will be useful also for other systems. Sections which have an asterisk * in the section title contain more advanced material and may be skipped during a first reading. This is not a review. I apologize for many omissions of further interesting and important aspects of this field (and their corresponding references). General reviews and more complete reference lists can be found in [1,2,3,4,5,6,7,8]. A guide to more specialized literature is given in the Further-Reading subsections at the end of some sections.

show abstract

Towards the infrared limit inSU(3)Landau gauge lattice gluodynamics

Cited by 151 publications

References 38 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Gluon mass generation in the PT-BFM scheme

Introduction to the Functional RG and Applications to Gauge Theories

Contact Info

Product

Resources

About