Quark mass in the Sakai-Sugimoto model of chiral symmetry breaking
Quark mass in the Sakai-Sugimoto model of chiral symmetry breaking
We re-analyze D8 brane embeddings in the geometry of a D4 brane wrapped on a circle that describe chiral symmetry breaking in a strongly coupled non-supersymmetric gauge theory. We argue that if the holographic fields are correctly interpreted, the original embeddings describe a complex quark mass and condensate in the theory. We show that in this interpretation when a quark mass is present there is a massive pseudo Goldstone boson (pion). A previously identified massless fluctuation is, we argue, not a physical state in the field theory. We also determine the behaviour of the quark condensate as a function of the quark mass.
1-14
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Threlfall, Ed
0a0ac961-d313-4a6e-9096-922f9a995f45
22 June 2007
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Threlfall, Ed
0a0ac961-d313-4a6e-9096-922f9a995f45
Evans, Nick and Threlfall, Ed
(2007)
Quark mass in the Sakai-Sugimoto model of chiral symmetry breaking.
Pre-print, .
Abstract
We re-analyze D8 brane embeddings in the geometry of a D4 brane wrapped on a circle that describe chiral symmetry breaking in a strongly coupled non-supersymmetric gauge theory. We argue that if the holographic fields are correctly interpreted, the original embeddings describe a complex quark mass and condensate in the theory. We show that in this interpretation when a quark mass is present there is a massive pseudo Goldstone boson (pion). A previously identified massless fluctuation is, we argue, not a physical state in the field theory. We also determine the behaviour of the quark condensate as a function of the quark mass.
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Published date: 22 June 2007
Additional Information:
arXiv:0706.3285v2
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Local EPrints ID: 57207
URI: http://eprints.soton.ac.uk/id/eprint/57207
PURE UUID: 231e5d64-e92d-49bc-8f52-fe24290e7c93
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Date deposited: 13 Aug 2008
Last modified: 11 Dec 2021 17:52
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Author:
Ed Threlfall
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