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Dressed-quarks and the nucleon's axial charge
Nuclear Theory · Submitted 23 Jul 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The suppression of g_A^q is shown to be part of an explanation for a 25% reduction of g_A from its nonrelativistic quark-model value.
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The abstract, sentence by sentence
The nucleon's axial charge, g_A, expresses features that are both fundamental to the strong interaction and crucial to its connection with weak interaction physics. We show that dynamical chiral symmetry breaking (DCSB) suppresses the axial-charge of a dressed-quark, g_A^q, at infrared momenta. Since this effect disappears as chiral symmetry is restored, one may argue that g_A vanishes with the restoration of chiral symmetry because no nucleon bound-state survives the associated transition. The suppression of g_A^q is shown to be part of an explanation for a 25% reduction of g_A from its nonrelativistic quark-model value. Critical too, however, is the presence of dressed-quark angular momentum within the nucleon. The value of g_A^q depends on the kernels of the gap and Bethe-Salpeter equations. We find that incorporation of essentially nonperturbative effects associated with DCSB into these kernels inflates the value relative to that obtained at leading-order in a widely used truncation of QCD's Dyson-Schwinger equations. Such corrections also affect the nucleon's axial radius. In both cases, however, agreement with experiment will require similar improvements to the Faddeev kernel and associated interaction current.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The nucleon's axial charge, g_A, expresses features that are both fundamental to the strong interaction and crucial to its connection with weak interaction physics. | background 1.00 | 0.05 | 0.04 | asserted 1.00 |
| s1 | We show that dynamical chiral symmetry breaking (DCSB) suppresses the axial-charge of a dressed-quark, g_A^q, at infrared momenta. | result 0.98 | 0.91 | 0.50 | asserted 1.00 |
| s2 | Since this effect disappears as chiral symmetry is restored, one may argue that g_A vanishes with the restoration of chiral symmetry because no nucleon bound-state survives the associated transition. | interpretation 1.00 | 0.17 | 0.14 | hedged possibility 0.99 |
| s3 | The suppression of g_A^q is shown to be part of an explanation for a 25% reduction of g_A from its nonrelativistic quark-model value. | result 0.55 | 0.83 | 0.24 | asserted 0.98 |
| s4 | Critical too, however, is the presence of dressed-quark angular momentum within the nucleon. | result 0.58 | 0.41 | 0.10 | asserted 0.99 |
| s5 | The value of g_A^q depends on the kernels of the gap and Bethe-Salpeter equations. | background 0.49 | 0.24 | 0.05 | asserted 1.00 |
| s6 | We find that incorporation of essentially nonperturbative effects associated with DCSB into these kernels inflates the value relative to that obtained at leading-order in a widely used truncation of QCD's Dyson-Schwinger equations. | result 0.98 | 0.92 | 0.13 | asserted 1.00 |
| s7 | Such corrections also affect the nucleon's axial radius. | result 0.99 | 0.66 | 0.05 | asserted 0.97 |
| s8 | In both cases, however, agreement with experiment will require similar improvements to the Faddeev kernel and associated interaction current. | limitation 0.59 | 0.38 | 0.14 | asserted 0.58 |
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The paper
Original abstract
The nucleon's axial charge, g_A, expresses features that are both fundamental to the strong interaction and crucial to its connection with weak interaction physics. We show that dynamical chiral symmetry breaking (DCSB) suppresses the axial-charge of a dressed-quark, g_A^q, at infrared momenta. Since this effect disappears as chiral symmetry is restored, one may argue that g_A vanishes with the restoration of chiral symmetry because no nucleon bound-state survives the associated transition. The suppression of g_A^q is shown to be part of an explanation for a 25% reduction of g_A from its nonrelativistic quark-model value. Critical too, however, is the presence of dressed-quark angular momentum within the nucleon. The value of g_A^q depends on the kernels of the gap and Bethe-Salpeter equations. We find that incorporation of essentially nonperturbative effects associated with DCSB into these kernels inflates the value relative to that obtained at leading-order in a widely used truncation of QCD's Dyson-Schwinger equations. Such corrections also affect the nucleon's axial radius. In both cases, however, agreement with experiment will require similar improvements to the Faddeev kernel and associated interaction current.
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References
How the literature uses it
5 arXiv papers cite this in 18 sentences
Papers citing it · 9 sentences without a confident label
Uses its method or tool 1 paper
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In completing the gap and Bethe-Salpeter kernels we employ two different procedures and compare their results: rainbow-ladder truncation (RL), the most widely used DSE computational scheme in hadron physics, detailed in App. A.1 of Ref. [ref] ; and the DCSB-improved kernels detailed in App. A.2 of Ref. [ref] (DB), which are the most refined kernels currently available.
Imaging dynamical chiral symmetry breaking: pion wave function on the light front · Introduction · 0.93
Uses its data or values 1 paper
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We therefore make the identification $f_g(k) ≡F_R(k;0)$ mentioned in Sec. [ref], and directly insert the numerical results reported in Ref. [ref] to smear the bare model axial charge as in Eq. ([ref]).
A Euclidean bridge to the relativistic constituent quark model · Gluon Dressing Effect · 0.99
Cites it as support 1 paper
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The motivation to include the higher angular momentum states and the $P$-state is in particular comes from the Cloudy Bag Model (CBM) and nonrelativistic quark models [ref] .
Axial form factors of the octet baryons in a covariant quark model · Introduction · 0.99
Cites it as background 3 papers
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The nucleon axial form factor has been calculated using different frameworks [ref] .
Holographic estimate of the meson cloud contribution to nucleon axial form factor · Introduction · 1.00
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In the context of BSE analyses [ref] , the dressed axial-vector vertex is represented by the structure $Γ^fg_5μ(K;P)$, which is understood to connect an incoming quark of flavor $g$ and momentum $K_- = K - (1-η)P$ to an outgoing quark of flavor $f$ and momentum $K_+ = K + ηP$; here $P$ and $K$ represent the total and relative momentum of the quark pair, and $η$ is a dimensionless parameter upon which calculations cannot depend.
A Euclidean bridge to the relativistic constituent quark model · Gluon Dressing Effect · 0.93
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The axial form factors of the octet baryons, including the nucleon, have been studied using constituent and chiral quark models [ref] , based on the Dyson-Schwinger equations [ref] , models with meson cloud dressing [ref] , large-$N_C$ and chiral perturbation theory [ref] and QCD sum rules [ref] .
Axial form factors of the octet baryons in a covariant quark model · Introduction · 1.00
What it cites · 2 sentences without a confident label
Uses the method or tool of 1 paper
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To this end, consider the symmetry-preserving regularisation of a vector$×$vector contact-interaction detailed and employed in Refs. [ref] .
Spectrum of hadrons with strangeness · Axial charge of a dressed-quark · 0.97
Cites as background 1 paper
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Attempts to do so are described in Refs. [ref] .
Volume Dependence of the Axial Charge of the Nucleon · Introduction · 0.95
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