Description
- Abstract:
- Abstract of Holographic Techniques for Strongly Coupled Scattering, by Timothy Gillooly Raben, Ph.D., Brown University, May 2016. Quarks and gluons have historically been difficult to perform calculations with: confinement creates rich phase spaces of scattering results, simple processes necessitate the calculation of huge numbers of Feynman diagrams, and experimental collisions require an understanding of strongly coupled dynamics. The AdS/CFT correspondence has fueled new lines of investigation into the study of quarks and gluons. This strong/weak duality is a step in the direction of realizing a long sought QCD-string. Holography has given us a powerful tool set to study the strongly coupled limit of gauge theories and compare these results and predictions with that of known physics (QCD, parton-models, and others.) We aim to better describe scattering physics by using the AdS/CFT to look at strongly coupled and confined regions of large-N gauge theory. By investigating high energy limits and specific areas of phase space, one can simply scattering amplitudes and make predictions and analysis sharper. A softwall model of AdS confinement is described and compared to other softly confining and sharply confining models. High energy Pomeron exchange is described in the softwall model and is used to fit deep inelastic scattering data. e- p+ data is examined from the combined H1 and ZEUS 2010 dataset at HERA. Structure functions are fit with a χ2dof~1.104. In the conformal limit, Reggeon exchange is further examined via a calculation of unprotected operator anomalous dimension via an analytic Δ(J) curve . Using integrability techniques the Pomeron and Odderon intercepts, J0, are calculated to seventh order in 1/λ1/2. The leading Pomeron exchange for 5 and 6 point amplitudes can be related to inclusive scattering processes via the optical theorem. By taking discontinuities of AdS scattering amplitudes, an holographic motivated model is used to fit 7-TeV LHC data at large pT.
- Notes:
- Thesis (Ph.D. -- Brown University (2016)
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Citation
Raben, Timothy Gillooly,
"Holographic Techniques for Strongly Coupled Scattering"
(2016).
Physics Theses and Dissertations.
Brown Digital Repository. Brown University Library.
https://doi.org/10.7301/Z0ZP44HJ
