Quark fragmentation as a probe of dynamical mass generation

Accardi, Alberto; Signori, Andrea

doi:10.1016/j.physletb.2019.134993

Cited by 19 publications

(35 citation statements)

References 57 publications

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“…The definition (1) clarifies and refines the definitions previously advanced in Refs. [65,71,72]. In particular, with the present definition, the jet correlator naturally emerges at the right hand side of the master sum rule (79), that we will derive in the next section and connects the single inclusive quark fragmentation process to the propagation and inclusive fragmentation of a quark discussed in this section.…”

Section: The Inclusive Jet Correlatormentioning

confidence: 78%

“…Results for selected Dirac structures have already been presented in Ref. [72]; in this work, that also provides full details of our approach, we complete the set of twist-3 sum rules (some of which generalize known results) and comment on their theoretical and phenomenological implications.…”

Section: Introductionmentioning

confidence: 87%

“…Let us start by considering the unintegrated inclusive quarkto-jet correlator [65,[69][70][71][72]78] i j (k; w) = Disc…”

Section: The Inclusive Jet Correlatormentioning

confidence: 99%

“…We can obtain a connection with the Källen-Lehman spectral representation of the quark propagator [71,72,101,102] by noticing that the Feynman propagator for the quark in momentum space is given by the expectation value of i S on the interacting vacuum. In turn, the Feynman propagator can be written as a superposition of propagators for (multi)particle states of invariant mass μ [101,102]:…”

Section: Convolution Representation and Spectral Decompositionmentioning

confidence: 99%

“…The starting point of this analysis is the convolutional spectral representation of the gauge invariant quark propagator proposed in Ref. [72], see Eq. (23).…”

Section: Introductionmentioning

confidence: 99%

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On the connection between quark propagation and hadronization

Accardi

Signori

2020

Eur. Phys. J. C

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We investigate the properties and structure of the recently discussed "fully inclusive jet correlator", namely, the gauge-invariant field correlator characterizing the final state hadrons produced by a free quark as this propagates in the vacuum. Working at the operator level, we connect this object to the single-hadron fragmentation correlator of a quark, and exploit a novel gauge invariant spectral decomposition technique to derive a complete set of momentum sum rules for quark fragmentation functions up to twist-3 level; known results are recovered, and new sum rules proposed. We then show how one can explicitly connect quark hadronization and dynamical quark mass generation by studying the inclusive jet's gauge-invariant mass term. This mass is, on the one hand, theoretically related to the integrated chiralodd spectral function of the quark, and, on the other hand, is experimentally accessible through the E and E twist-3 fragmentation function sum rules. Thus, measurements of these fragmentation functions in deep inelastic processes provide one with an experimental gateway into the dynamical generation of mass in Quantum Chromodynamics.

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Section: The Inclusive Jet Correlatormentioning

confidence: 78%

Section: Introductionmentioning

confidence: 87%

“…Let us start by considering the unintegrated inclusive quarkto-jet correlator [65,[69][70][71][72]78] i j (k; w) = Disc…”

Section: The Inclusive Jet Correlatormentioning

confidence: 99%

Section: Convolution Representation and Spectral Decompositionmentioning

confidence: 99%

“…The starting point of this analysis is the convolutional spectral representation of the gauge invariant quark propagator proposed in Ref. [72], see Eq. (23).…”

Section: Introductionmentioning

confidence: 99%

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