Chern-Simons five-form and holographic baryons
Name
PhysRevD.95.126007.pdf
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309.08 KB
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Checksum (MD5)
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Author(s)
Sugimoto, Shigeki
Lau, Pak Hang
Date Issued
June 2017
Journal
Physical Review D
Publisher
American Physical Society
Citation
Lau, Pak Hang Chris, and Shigeki Sugimoto. “Chern-Simons Five-Form and Holographic Baryons.” Physical Review D 95, no. 12 (June 16, 2017).
Version
Final published version
Abstract
In the top-down holographic model of QCD based on D4/D8-branes in type IIA string theory and some of the bottom-up models, the low energy effective theory of mesons is described by a five-dimensional Yang-Mills-Chern-Simons theory in a certain curved background with two boundaries. The five-dimensional Chern-Simons term plays a crucial role in reproducing the correct chiral anomaly in four-dimensional massless QCD. However, there are some subtle ambiguities in the definition of the Chern-Simons term for the cases with topologically nontrivial gauge bundles, which include the configurations with baryons. In particular, for the cases with three flavors, it was pointed out by Hata and Murata that the naive Chern-Simons term does not lead to an important constraint on the baryon spectrum, which is needed to pick out the correct baryon spectrum observed in nature. In this paper, we propose a formulation of a well-defined Chern-Simons term which can be used for the cases with baryons, and show that it recovers the correct baryon constraint as well as the chiral anomaly in QCD.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.95.126007
