Persistent Link:
http://hdl.handle.net/10150/196076
Title:
Time Reversal Violation in Nuclear Effective Field Theory
Author:
Hockings, William Hill
Issue Date:
2006
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 lack of invariance with respect to time reversal (T) of the weak interactions has long been known. However, T violation has yet to be observed from flavor-diagonal sources, where the primary quantities of interest are electric dipole moments (EDMs). Weak T violation gives EDMs that are far too small, but strong T violation via flavor-diagonal sources could give EDMs strong enough to be detected in the near future. It is thus important to understand precisely how various quark-level sources of T violation manifest themselves in hadronic physics.A useful technique for dealing with low-energy phenomena involving nucleons, nuclei, and various mesons, is effective field theory (EFT). The formalism and methodology of EFT are presented, followed by an introduction to the construction of chiral Lagrangians.A motivation for the study of T violation beyond the weak interactions is then given, with brief introductions to the most important sources of T violation.The QCD theta term is looked at using two differentapproaches. First, enforcing vacuum stability at quark level, a series of T-violating interactions ensue. Second, enforcing vacuum stability at hadronic level via field redefinitions, spurious interactions are demonstrated to be avoidable. Both approaches involve a constraining relationship between theta-term T violation and up-down quark-mass-difference isospin violation. The quark chromo-EDMs are shown to be identical to the theta term in their chiral symmetry properties. The quark EDMs and Weinberg operator,conversely, are shown to generate new interactions in addition to those generated by the theta term, differing nucleon EDM contributions in particular.The electric dipole form factor (EDFF) of the nucleon, with a theta term source, is calculated in both leading and subleading orders in chiral perturbation theory, with the momentum dependence at both orders given entirely by contributions from the pion cloud. Theleading result is purely isovector, while an isoscalar result appears in subleading order. The isoscalar EDM is used as a lower-bound estimate of the deuteron EDM. The momentum dependence of the EDFF for small momentum transfer is related to the electromagnetic nucleonSchiff moment, which is computed to subleading order.
Type:
text; Electronic Dissertation
Keywords:
Physics; T violation; eft
Degree Name:
PhD
Degree Level:
doctoral
Degree Program:
Physics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
van Kolck, Ubirajara L.
Committee Chair:
van Kolck, Ubirajara L.

Full metadata record

DC FieldValue Language
dc.language.isoENen_US
dc.titleTime Reversal Violation in Nuclear Effective Field Theoryen_US
dc.creatorHockings, William Hillen_US
dc.contributor.authorHockings, William Hillen_US
dc.date.issued2006en_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 lack of invariance with respect to time reversal (T) of the weak interactions has long been known. However, T violation has yet to be observed from flavor-diagonal sources, where the primary quantities of interest are electric dipole moments (EDMs). Weak T violation gives EDMs that are far too small, but strong T violation via flavor-diagonal sources could give EDMs strong enough to be detected in the near future. It is thus important to understand precisely how various quark-level sources of T violation manifest themselves in hadronic physics.A useful technique for dealing with low-energy phenomena involving nucleons, nuclei, and various mesons, is effective field theory (EFT). The formalism and methodology of EFT are presented, followed by an introduction to the construction of chiral Lagrangians.A motivation for the study of T violation beyond the weak interactions is then given, with brief introductions to the most important sources of T violation.The QCD theta term is looked at using two differentapproaches. First, enforcing vacuum stability at quark level, a series of T-violating interactions ensue. Second, enforcing vacuum stability at hadronic level via field redefinitions, spurious interactions are demonstrated to be avoidable. Both approaches involve a constraining relationship between theta-term T violation and up-down quark-mass-difference isospin violation. The quark chromo-EDMs are shown to be identical to the theta term in their chiral symmetry properties. The quark EDMs and Weinberg operator,conversely, are shown to generate new interactions in addition to those generated by the theta term, differing nucleon EDM contributions in particular.The electric dipole form factor (EDFF) of the nucleon, with a theta term source, is calculated in both leading and subleading orders in chiral perturbation theory, with the momentum dependence at both orders given entirely by contributions from the pion cloud. Theleading result is purely isovector, while an isoscalar result appears in subleading order. The isoscalar EDM is used as a lower-bound estimate of the deuteron EDM. The momentum dependence of the EDFF for small momentum transfer is related to the electromagnetic nucleonSchiff moment, which is computed to subleading order.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectPhysicsen_US
dc.subjectT violationen_US
dc.subjecteften_US
thesis.degree.namePhDen_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplinePhysicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorvan Kolck, Ubirajara L.en_US
dc.contributor.chairvan Kolck, Ubirajara L.en_US
dc.contributor.committeememberBarrett, Bruceen_US
dc.contributor.committeememberDienes, Keithen_US
dc.contributor.committeememberShupe, Mikeen_US
dc.contributor.committeememberChacko, Zackariaen_US
dc.identifier.proquest1786en_US
dc.identifier.oclc659747551en_US
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