Persistent Link:
http://hdl.handle.net/10150/186956
Title:
Identical particles effects on the nucleon structure functions.
Author:
Sucipto, Erwin.
Issue Date:
1994
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
The factorization of the nucleon structure function into pointlike subprocesses and nonperturbative parton distributions is examined to determine if it can accomodate the statistical correlation effects of identical partons. In a full 3-dimensional model, we find that only partons moving in same direction will contribute to the evolution of a distribution function. The expression of the evolution equation as a convolution of the distribution function and the splitting function can only be retained when the correlation factors are turned off. Turning on the statistical factors modifies the splitting function, and the conventional convolution for the evolution equation cannot be constructed. Transition to the ordinary (unidirectional) Parton Model is achieved by suppressing the occupation of the transverse modes in the distributions. In this model, the corrections due to the statistical factors are to be expected in the order of higher twist. Their explicit calculation in the massive gluon renormalization scheme is plagued with collinear divergences which do not cancel, even when we include the parton recombination processes as suggested by the Thermal Model. The same calculation with dimensional regularization indicates the shifting of the divergent pole from D = 4 to D = 6; analytic continuation to D = 4 yields a finite result, but not the same as the finite part in the massive gluon method. We argue that this divergence must be absorbed into renormalized nonperturbative distribution functions. A renormalization procedure is then proposed, in which the absorbed factor must depend on the distribution function. We conclude that renormalized distributions extracted from deep inelastic scattering contain higher twist effects from statistical correlations of identical particles. These effects are not universal, but must be calculated separately for each process.
Type:
text; Dissertation-Reproduction (electronic)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Physics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Thews, Robert L.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleIdentical particles effects on the nucleon structure functions.en_US
dc.creatorSucipto, Erwin.en_US
dc.contributor.authorSucipto, Erwin.en_US
dc.date.issued1994en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe factorization of the nucleon structure function into pointlike subprocesses and nonperturbative parton distributions is examined to determine if it can accomodate the statistical correlation effects of identical partons. In a full 3-dimensional model, we find that only partons moving in same direction will contribute to the evolution of a distribution function. The expression of the evolution equation as a convolution of the distribution function and the splitting function can only be retained when the correlation factors are turned off. Turning on the statistical factors modifies the splitting function, and the conventional convolution for the evolution equation cannot be constructed. Transition to the ordinary (unidirectional) Parton Model is achieved by suppressing the occupation of the transverse modes in the distributions. In this model, the corrections due to the statistical factors are to be expected in the order of higher twist. Their explicit calculation in the massive gluon renormalization scheme is plagued with collinear divergences which do not cancel, even when we include the parton recombination processes as suggested by the Thermal Model. The same calculation with dimensional regularization indicates the shifting of the divergent pole from D = 4 to D = 6; analytic continuation to D = 4 yields a finite result, but not the same as the finite part in the massive gluon method. We argue that this divergence must be absorbed into renormalized nonperturbative distribution functions. A renormalization procedure is then proposed, in which the absorbed factor must depend on the distribution function. We conclude that renormalized distributions extracted from deep inelastic scattering contain higher twist effects from statistical correlations of identical particles. These effects are not universal, but must be calculated separately for each process.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplinePhysicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairThews, Robert L.en_US
dc.contributor.committeememberBowen, T.en_US
dc.contributor.committeememberScadron, M. D.en_US
dc.contributor.committeememberMcIntyre, L. C., Jr.en_US
dc.contributor.committeememberLeavitt, J. A.en_US
dc.identifier.proquest9517568en_US
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