<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>meson, Bethe-Salpeter equation, and the far infrared

Blank, M.; Krassnigg, A.; Maas, Axel

doi:10.1103/physrevd.83.034020

Cited by 43 publications

(49 citation statements)

References 72 publications

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“…A.1 in [305] for a discussion and [243,[354][355][356][357][358] for corresponding techniques). In any case, many observables are insensitive to the deep-infrared behaviour of the interaction due to the freeze-out of the dynamical quark mass and for those such a change has almost no effect [201]. This is also true for the replacement πη 7 x 2 → 2πη 5 x which was suggested in Ref.…”

Section: Approximations and Truncationsmentioning

confidence: 62%

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Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

421

530

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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.

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Section: Approximations and Truncationsmentioning

confidence: 62%

“…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%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

421

530

View full text Add to dashboard Cite

show abstract

“…The emphasis is of course on fermions in the fundamental representation, as these are necessary for an investigation of QCD [13,14,206,229,341,[353][354][355][356][357][358][359][360] 69 . Less often the properties of adjoint and fundamental scalars have been investigated [25,170,176,208,209,363,364], though they are much more amendable to lattice calculations [9].…”

Section: Matter Fieldsmentioning

confidence: 99%

Gauge bosons at zero and finite temperature

2013

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Gauge theories of the Yang-Mills type are the single most important building block of the standard model of particle physics and beyond. They are an integral part of the strong and weak interactions, and in their Abelian version of electromagnetism. Since Yang-Mills theories are gauge theories their elementary particles, the gauge bosons, cannot be described without fixing a gauge. Therefore, to obtain their properties a quantized and gauge-fixed setting is necessary.Beyond perturbation theory, gauge-fixing in non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity, which requires the introduction of non-local constraints. The construction and implementation of a method-independent gauge-fixing prescription to resolve this ambiguity is the single most important first step to describe gauge bosons beyond perturbation theory. Proposals for such a procedure, generalizing the perturbative Landau gauge, are described here. Their implementation are discussed for two example methods, lattice gauge theory and the quantum equations of motion.After gauge-fixing, it is possible to study gauge bosons in detail. The most direct access is provided by their correlation functions. The corresponding two-and three-point correlation functions are presented at all energy scales. These give access to the properties of the gauge bosons, like their absence from the asymptotic physical state space, particle-like properties at high energies, and the running coupling. Furthermore, auxiliary degrees of freedom are introduced during gauge-fixing, and their properties are discussed as well. These results are presented for two, three, and four dimensions, and for various gauge algebras.Finally, the modifications of the properties of gauge bosons at finite temperature are presented. Evidence is provided that these reflect the phase structure of Yang-Mills theory. However, it is found that the phase transition is not deconfining the gauge bosons, although the bulk thermodynamical behavior is of a Stefan-Boltzmann type. The resolution of this apparent contradiction is also presented. In addition, this resolution provides an explicit and constructive solution to the Linde problem.Thus, the technical and conceptual framework presented here can be taken as a basis how to determine correlation functions in Yang-Mills theory, therefore opening up the avenue to investigate theories of direct practical relevance. The status of this effort will be briefly described, alongside with connections to other approaches to Yang-Mills theory beyond perturbation theory.

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“…In particular, hadron properties are not much affected by the deep infrared of the interaction; rather, they seem to be sensitive to the support and strength of the interaction at the scales of a few hundred MeV [29,42]. As known from a long series of BSE studies, the RL truncation is successful for equal-mass mesons, for instance lightqq mesons, such as the pion, kaon and ρ [32], but also forQQ charmonia and bottonium [43][44][45][46] where subtle cancellations between contributions from the quark-gluon and antiquark-gluon vertices are in order.…”

Section: Introductionmentioning

confidence: 99%

Exciting flavored bound states

2014

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We study ground and radial excitations of flavor singlet and flavored pseudoscalar mesons within the framework of the rainbow-ladder truncation using an infrared massive and finite interaction in agreement with recent results for the gluon-dressing function from lattice QCD and DysonSchwinger equations. Whereas the ground-state masses and decay constants of the light mesons as well as charmonia are well described, we confirm previous observations that this truncation is inadequate to provide realistic predictions for the spectrum of excited and exotic states. Moreover, we find a complex conjugate pair of eigenvalues for the excited D (s) mesons, which indicates a nonHermiticity of the interaction kernel in the case of heavy-light systems and the present truncation. Nevertheless, limiting ourselves to the leading contributions of the Bethe-Salpeter amplitudes, we find a reasonable description of the charmed ground states and their respective decay constants.

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ρmeson, Bethe-Salpeter equation, and the far infrared

Cited by 43 publications

References 72 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Gauge bosons at zero and finite temperature

Exciting flavored bound states

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