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Holographic heavy-light mesons from non-Abelian DBI

2007/06/30 by Johanna Erdmenger, Kazuo Ghoroku, Ingo Kirsch · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/09/111

published as JHEP0709:111,2007 · 21 pages, 7 figures

arxiv created 2007/09/19 · openalex publication_date 2007/09/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the context of gauge/gravity duals with flavor, we examine heavy-light mesons which involve a heavy and a light quark. For this purpose we embed two D7 brane probes at different positions into the gravity background. We establish the non-Abelian Dirac-Born-Infeld (DBI) action for these probes, in which the U(2) matrix describing the embedding is diagonal. The fluctuations of the brane probes correspond to the mesons. In particular, the off-diagonal elements of the U(2) fluctuation matrix correspond to the heavy-light mesons, while the diagonal elements correspond to the light-light and heavy-heavy mesons, respectively. The heavy-light mesons scale differently with the 't Hooft coupling than the mesons involving quarks of equal mass. The model describes both scalar and vector mesons. For different dilaton-deformed gravity backgrounds, we also calculate the Wilson loop energy, and compare with the meson masses.

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