Description
- Abstract:
- We study several aspects of high energy scattering using the AdS/CFT correspondence.We begin with concise theoretical overviews of a few relevant topics. First is a generalintroduction to scattering theory, where we define most of the relevant concepts and termswhich we will use later, and introduce the physical motivation for studying them. We followthat by introducing Regge theory, which has had a storied history since its� beginnings.We discuss Regge trajectories and the Pomeron and Odderon, which we will return tolater. Next we turn to a short introduction to quantum chromodynamics. We discussasymptotic freedom and confinement in quantum chromodynamics, which allows us toexamine the main ideas from DIS processes and Pomeron exchange at weak coupling. Wethen turn to introducing relevant concepts from string theory. In particular, we study themassless spectrum of states, consisting of the graviton, Kalb-Ramond field and the dilaton,and then introduce string vertex operators and study how we can use them to calculatestring scattering amplitudes. After these introductory chapters we introduce the formalismdeveloped by Brower, Polchinski, Strassler and Tan [1], and Brower, Strassler and Tan [2, 3]to study high energy scattering in the Regge limit using string theory and the AdS/CFTcorrespondence. This involves developing a Pomeron vertex operator in AdS space stringtheory, and using it to find the eikonal approximation to the scattering amplitude. ThePomeron is found to correspond to the Regge trajectory of the graviton. Finally, wethen apply these techniques to study at strong coupling some of the relevant concepts weintroduced initially at weak coupling. We begin by keeping the next order term in theexpansion that BPST used to define the Pomeron vertex operator, and find that doing sowill correspond to defining the Odderon in AdS space. We note that due to symmetryarguments the Odderon can sometimes be the leading order exchange, and find that inAdS space it corresponds to the Regge trajectory of the Kalb-Ramond field. We next turnto the study of DIS at strong coupling.
- Notes:
- Thesis (Ph.D. -- Brown University (2011)
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Citation
Djuric, Marko,
"Aspects of High Energy Scattering and AdS/CFT"
(2011).
Physics Theses and Dissertations.
Brown Digital Repository. Brown University Library.
https://doi.org/10.7301/Z0VX0DSD
