Tangereen Claringbold

Quirks of QCD: Twist-2 Operators on the Lattice

Physics | William & Mary

Advisor: Christopher Monahan

Abstract

The idea that matter is made of fundamental parti-cles has been part of our scientific consciousness for millennia, from ancient Greek and Indian philos-ophers who predicted that all material is made of invisible and indivisible bits that combine to con-struct the world around us. In the 19th century, we discovered that molecules are made of atoms and, in the early 20th century, that atoms are made of electrons, protons, and neutrons. We now under-stand protons and neutrons to be composite parti-cles, made of quarks and gluons. The theory that describes how quarks and gluons form protons and neutrons is Quantum Chromodynamics, or QCD. One of the challenges of QCD is that it can't analyti-cally describe the proton, meaning that we must rely on numerical approximations, calculated on super-computers. Unfortunately, many of QCD’s useful techniques can't be used in numerical calculations, a problem that this project aims to address. Specifi-cally, we wish to find a numerical formulation of the Twist-2 Operators, a set of mathematical tools that show up in calculations of Deep Inelastic Scattering, which is one of the main methods by which we in-vestigate the structure of protons and neutrons.

Bio

Tangereen Velveteen Bailey Claringbold is a fourth-year Ph.D. candidate in the Physics Department at William & Mary. Their current research is in nuclear and hadronic theory. In 2016, they received their B.S. in Physics and Math from University of Portland and, in 2018, they earned their M.S. in Physics from William & Mary. They currently serve as a member of the Physics Department's Diversity Advisory Committee and the secretary of the Physics Graduate Student Association.

Claringbold, Tangereen.mp4