Bulletin of the American Physical Society
APS April Meeting 2022
Volume 67, Number 6
Saturday–Tuesday, April 9–12, 2022; New York
Session L07: Nucleon Structure and Nucleon Spin
3:45 PM–5:45 PM,
Sunday, April 10, 2022
Room: Salon 4
Sponsoring
Unit:
GHP
Chair: Simonetta Liuti, University of Virginia
Abstract: L07.00008 : Understanding the proton spin from lattice QCD*
5:21 PM–5:33 PM
Withdrawn
Presenter:
Jack Holligan
(University of Maryland)
Author:
Jack Holligan
(University of Maryland)
The proton structure is best studied in the infinite momentum limit in which the partons are free particles. However, on a Euclidean lattice, we cannot study physics on the light cone or in the light-cone gauge. In addition, the operator for gluon spin is not a gauge invariant quantity and, thus, we must fix the gauge. After the extraction of the observable quantities, we must apply the process of renormalization.
In order to renormalize the spin operator, we must determine with which operators it mixes. This process can be carried out with a perturbative calculation as well as determining the most general tensors with which the spin-operator can mix given the set of constraints.
Our approach to measuring the spin content is to use the Coulomb gauge which, when boosted to infinite momentum, becomes the light-cone gauge. We compute the ratio of three-point- and two-point-correlation functions of proton states with definite momentum. This combined function encodes the gluon spin matrix-element which can be extracted with curve-fitting techniques. The process of renormalization is then applied to these bare quantities.
*This work is funded by the United States Department of Energy.
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