Interactions as intertwiners in 4D QFT

Simple item page
dc.citation.doi10.1007/JHEP03(2016)165en_ZA
dc.citation.issue3en_ZA
dc.contributor.authorde Mello Koch, R.
dc.contributor.authorRamgoolam, S.
dc.date.accessioned2017-04-13T14:26:35Z
dc.date.available2017-04-13T14:26:35Z
dc.date.issued2016-03
dc.description.abstractIn a recent paper we showed that the correlators of free scalar field theory in four dimensions can be constructed from a two dimensional topological field theory based on so(4, 2) equivariant maps (intertwiners). The free field result, along with recent results of Frenkel and Libine on equivariance properties of Feynman integrals, are developed further in this paper. We show that the coefficient of the log term in the 1-loop 4-point conformal integral is a projector in the tensor product of so(4, 2) representations. We also show that the 1-loop 4-point integral can be written as a sum of four terms, each associated with the quantum equation of motion for one of the four external legs. The quantum equation of motion is shown to be related to equivariant maps involving indecomposable representations of so(4, 2), a phenomenon which illuminates multiplet recombination. The harmonic expansion method for Feynman integrals is a powerful tool for arriving at these results. The generalization to other interactions and higher loops is discussed.en_ZA
dc.description.librarianNCS2017en_ZA
dc.identifier.citationde Mello Koch, R. and Ramgoolam, S. 2016. Interactions as intertwiners in 4D QFT. Journal of High Energy Physics 2016(3) : Article number 165en_ZA
dc.identifier.issn1126-6708 (Print)
dc.identifier.issn1029-8479 (Online)
dc.identifier.urihttp://hdl.handle.net/10539/22392
dc.journal.titleJournal of High Energy Physicsen_ZA
dc.journal.volume2016en_ZA
dc.language.isoenen_ZA
dc.publisherSpringer Verlagen_ZA
dc.rights© 2016 de Mello Koch et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).en_ZA
dc.subjectAdS-CFT Correspondenceen_ZA
dc.subjectConformal and W Symmetryen_ZA
dc.subjectDuality in Gauge Field Theoriesen_ZA
dc.subjectGauge-gravity correspondenceen_ZA
dc.titleInteractions as intertwiners in 4D QFTen_ZA
dc.typeArticleen_ZA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Interactions as intertwiners in 4D QFT.pdf
Size:
607.78 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Research Outputs (School of Physics)