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Publication Information
Title Definition of fragmentation functions and the violation of sum rules
Abstract We point out a problem with the formulation and derivations of sum rules for quark fragmentation functions that impacts their validity in QCD, but which potentially points toward an improved understanding of final states in inclusive hard processes. Fragmentation functions give the distribution of final-state hadrons arising from a parton exiting a hard scattering, and the sum rules for momentum, electric charge, etc express conservation of these quantities. The problem arises from a mismatch between the quark quantum numbers of the initial quark and the fact that all observed final-state hadrons are confined bound states with color zero. We point that, in a confining theory like QCD, the Wilson line in the operator definition of a fragmentation function entails that the final state in a fragmentation function includes a bound state in the external field generated by the Wilson line. We justify this with the aid of general features of string hadronization. The anomalous bound stat
Author(s) Ted Rogers, John Collins
Publication Date January 2024
Document Type Journal Article
Primary Institution Old Dominion University
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-23-3909 OSTI Number: 2281314
LANL Number: Other Number: DOE/OR/23177-7106
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review D
Refereed No
Volume 109
Issue
Page(s) 016006
Attachments/Datasets/DOI Link
Document(s)
main49.pdf (STI Document)
PhysRevD.109.016006.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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