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dc.contributor.advisor Stevenson, Paul M.
dc.creatorCaveny, Scott Andrew
dc.date.accessioned 2009-06-04T08:30:42Z
dc.date.available 2009-06-04T08:30:42Z
dc.date.issued 1998
dc.identifier.urihttps://hdl.handle.net/1911/17158
dc.description.abstract We 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.
dc.format.extent 96 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectParticle physics
Elementary particles
High energy physics
dc.title 'Freezing' in perturbative quantum chromodynamics: The Banks-Zaks expansion and leading-b resummations
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Physics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.identifier.citation Caveny, Scott Andrew. "'Freezing' in perturbative quantum chromodynamics: The Banks-Zaks expansion and leading-b resummations." (1998) Master’s Thesis, Rice University. https://hdl.handle.net/1911/17158.


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