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Publication Information
Title Perturbative results of matrix elements of the axial current and their relation with the axial anomaly
Abstract In the Standard Model of particle physics, the axial current is not conserved, due both to fermion masses and to the axial anomaly. Using perturbative quantum chromodynamics, we calculate matrix elements of the local and non-local axial current for a gluon target, clarifying their connection with the axial anomaly. In so doing, we also reconsider classic results obtained in the context of the nucleon spin sum rule as well as recent results for off-forward kinematics. An important role is played by the infrared regulator, for which we put a special emphasis on the nonzero quark mass. We highlight cancellations that take place between contributions from the axial anomaly and the quark mass, and we elaborate on the relation of those cancellations with the conservation of angular momentum.
Author(s) Ignacio Castelli, Adam Freese, Cedric Lorce, Andreas Metz, Barbara Pasquini, Simone Rodini
Publication Date September 2024
Document Type Journal Article
Primary Institution Temple University, Philadelphia, PA
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP), National Science Foundation, German Science Foundation, Temple University (summer research grant)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-24-4130 OSTI Number: 2439930
LANL Number: Other Number: DOE/OR/23177-7577
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review B
Refereed No
Volume
Issue
Page(s) 138999
Attachments/Datasets/DOI Link
Document(s)
Axial_Anomaly-1.pdf (STI Document)
1-s2.0-S0370269324005574-main.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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