'Freezing' in perturbative quantum chromodynamics: The Banks-Zaks expansion and leading-b resummations

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dc.contributor.advisorStevenson, Paul M.en_US
dc.creatorCaveny, Scott Andrewen_US
dc.date.accessioned2009-06-04T08:30:42Zen_US
dc.date.available2009-06-04T08:30:42Zen_US
dc.date.issued1998en_US
dc.description.abstractWe find evidence for an infrared fixed point in perturbative QCD using two complementary approximations: The Banks-Zaks expansion and the large-b resummations. Analyzing the $e\sp+e\sp-$ annihilation ratio and the polarized Bjorken-sum-rule of deep-inelastic-scattering, we use the recent calculation of the renormalization-group $\beta$-function to four-loops in QCD to confirm that the Banks-Zaks expansion is relevant when extrapolated from sixteen down to two light quark flavors. We also search for indications of infrared 'freezing' in the Borel-renormalon-inspired 'large-b' resummations. We find the 'large-b' approximation also indicates perturbative 'freezing' of the $e\sp+e\sp-$ annihilation ratio and the polarized Bjorken-sum-rule at leading order. Finally, we study the region, $n\sb{f}$ = 2, where the 'large-$n\sb{f}$' resummation and Banks-Zaks expansion complement one another. We conclude that there is strong evidence for the existence of a perturbative infrared fixed point in the Standard Model QCD.en_US
dc.format.extent96 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoThesis Phys. 1998 Cavenyen_US
dc.identifier.citationCaveny, Scott Andrew. "'Freezing' in perturbative quantum chromodynamics: The Banks-Zaks expansion and leading-b resummations." (1998) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17158">https://hdl.handle.net/1911/17158</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/17158en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectParticle physicsen_US
dc.subjectElementary particlesen_US
dc.subjectHigh energy physicsen_US
dc.title'Freezing' in perturbative quantum chromodynamics: The Banks-Zaks expansion and leading-b resummationsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentPhysicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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