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Title On the connection between quark propagation and hadronization
Authors Andrea Signori, Alberto Accardi
JLAB number JLAB-THY-20-3193
LANL number arXiv:2005.11310
Other number DOE/OR/23177-4972
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
Other Funding:European Commission - SQuHadron, grant ID: 795475
 

Journal
Compiled for European Physical Journal C
Volume 80
Issue 9
Refereed
Publication Abstract: 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 chiral-odd spectral function of the quark, and, on the other hand, is experimentally accessible through the $E$ and $\widetilde E$ 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.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1140/epjc/s10052-020-8380-1
Accepted Manuscript: Accardi-Signori2020_Article_OnTheConnectionBetweenQuarkPro.pdf
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