Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum

Kock, Arthur; Zahed, Ismail

doi:10.48550/arxiv.2110.06989

Cited by 2 publications

(4 citation statements)

References 31 publications

(64 reference statements)

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“…4 we show the longitudinal pion distribution amplitude (DA) in the random instanton vacuum on the light front LFRIV versus Bjorken x, following from (106) with ϕ A π (x) = 8 π √ xx normalized as dxϕ A π (x) = 1, at the low resolution of 1/ρ. It is in good agreement with the pion DA in the random instanton vacuum RIV obtained in the rest frame, at the same resolution [32]. Both results are compared to the asymptotic pion DA of 6xx dashed curve, and the lattice pion DA MSULAT green-curveband [33].…”

Section: The Pion On the Light Frontsupporting

confidence: 79%

“…The pion DA is driven by the spontaneous breaking of chiral symmetry, which is the same RIV is the pion longitudinal DA from the instanton vacuum in the rest frame [32]; LFRIV is the pion DA from the instanton vacuum on the light front; MSULAT is the pion DA from the lattice [33]; the asymptotic pion DA of 6xx is shown for comparison.…”

Section: The Pion On the Light Frontmentioning

confidence: 99%

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Hadronic structure on the light-front II: QCD strings, Wilson lines and potentials

Shuryak¹,

Zahed²

2021

Preprint

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This is the second paper on hadronic wave functions in the light front formulation. We first consider only confinement effects, using the classical Nambu-Gotto string with massive end points in the light cone gauge. We derive the light-front Hamiltonian and show how to solve it, using an expansion in suitable basis functions. We next discuss the correlators of Wilson lines on the light front, leading to an effective Hamiltonian that includes spin effects. At the end, we consider a separate problem of instanton-induced interactions, at the origin of the pion as a massless Goldstone mode on the light front.

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Section: The Pion On the Light Frontsupporting

confidence: 79%

Section: The Pion On the Light Frontmentioning

confidence: 99%

Hadronic structure on the light-front II: QCD strings, Wilson lines and potentials

Shuryak¹,

Zahed²

2021

Preprint

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“…(75) regulates the momentum transfers, since the in-out quark pair is not on mass-shell. We expect the rightmost form factor in (75) to carry to the light front when the strict mass-shell limit is lifted as noted in [15,30]. The color averaging in (74) is similar to the color averaging carried in the rest frame (see Eq.…”

Section: B Lsz Reduction On the Light Frontmentioning

confidence: 73%

“…The light-front wave functions were classified in well-known papers such as [12], but hardly used. Only for the pion -a very special particle, a Nambu-Goldstone mode -there is determination of both its components, from model-dependent Bethe-Salpeter equations [13,14], and from quasi-DAs in the instanton vacuum [15].…”

Section: Introductionmentioning

confidence: 99%

Meson structure on the light-front III : The Hamiltonian, heavy quarkonia, spin and orbit mixing

Shuryak¹,

Zahed²

2021

Preprint

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This is the third paper on hadronic light front wave functions (LFWFs). We derive a light front Hamiltonian from first principles, using the key features of the QCD vacuum at low resolution. In the first approximation, it gives transverse oscillator and longitudinal harmonic modes, and yields the correct Regge trajectories. For heavy quarkonia, we compare its spectrum to that obtained from the usual Schroedinger equation in the rest frame. We use the same approach for light quarks, and investigate the role of confinement and chiral symmetry breaking in the quark-antiquark sector. We then study spin-spin and spin-orbit mixing, resulting in e.g. quadrupole moments of vector mesons. For the light mesons, we show how to extend the famed t Hooft interaction to the light front, which solves the U(1) problem and helps produce a light pion. We use the ensuing light front wavefunctions, to derive the pertinent parton distribution functions, parton amplitudes and low energy constants.

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Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum

Cited by 2 publications

References 31 publications

Hadronic structure on the light-front II: QCD strings, Wilson lines and potentials

Hadronic structure on the light-front II: QCD strings, Wilson lines and potentials

Meson structure on the light-front III : The Hamiltonian, heavy quarkonia, spin and orbit mixing

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