Professor Douglas Smith douglas.smith@durham.ac.uk
Head Of Department
Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons
Smith, Douglas J.; Robson, Calum J.; Farrow, Joseph A.
Authors
Calum J. Robson
Joseph Farrow joseph.a.farrow@durham.ac.uk
PGR Student Doctor of Philosophy
Abstract
We examine the dynamics of noncommutative instantons of instanton number 2 and commutative instantons of instanton number 3 in 5D super Yang-Mills theory. We begin by detailing the construction of the 1=4-Bogamolyni-Prasad-Somerfeldt instanton solutions, their moduli space, and the moduli space potential using an explicit parametrization of the moduli space coordinates in terms of the biquaternions. We then go on to numerically analyze the dynamics on the moduli spaces we have constructed, discussing some of the numerical issues which arose, and describing the numerical algorithm we developed to solve them.
Citation
Smith, D. J., Robson, C. J., & Farrow, J. A. (2022). Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons. Physical Review D, 106(4), Article 045001. https://doi.org/10.1103/physrevd.106.045001
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 9, 2022 |
Online Publication Date | Aug 1, 2022 |
Publication Date | 2022 |
Deposit Date | Aug 8, 2022 |
Publicly Available Date | Aug 8, 2022 |
Journal | Physical Review D |
Print ISSN | 2470-0010 |
Electronic ISSN | 2470-0029 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 106 |
Issue | 4 |
Article Number | 045001 |
DOI | https://doi.org/10.1103/physrevd.106.045001 |
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Published by the American Physical Society under the terms of
the Creative Commons Attribution 4.0 International license.
Further distribution of this work must maintain attribution to
the author(s) and the published article’s title, journal citation,
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