Abstract
We study the meson spectrum of the \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory with \( \mathcal{N} \) = 2 fundamental hypermultiplets for a finite electric field by using the D3/D7 model. The spectrum for scalar and vector mesons is computed by analyzing the (quasi-)normal modes for the fluctuations of the D7-brane embedding and gauge fields. In the presence of an electric field, two different phases in the background are realized: the meson and dissociation phases. In this paper, we analyze the meson spectrum of scalar and vector mesons for all ranges of the electric field and explore the effect of the electric field on the meson spectrum, that is, the Stark effect. In the meson spectrum, we observe the avoided crossing between different levels due to the coupling of fluctuations via the electric field.
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Acknowledgments
The authors are grateful to Yongjun Ahn and Xin-Meng Wu for comments and discussions. We also thank Johanna Erdmenger for a fruitful discussion about avoided crossing. S. I. is supported by National Natural Science Foundation of China with Grant No. 12147158. S. K. is supported by JSPS Grant-in-Aid for Scientific Research Number 21H05186. M. M. is supported by National Natural Science Foundation of China with Grant No. 12047538.
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Ishigaki, S., Kinoshita, S. & Matsumoto, M. Stark effect and dissociation of mesons in holographic conductor. J. High Energ. Phys. 2023, 128 (2023). https://doi.org/10.1007/JHEP11(2023)128
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DOI: https://doi.org/10.1007/JHEP11(2023)128