Within the methods of the real and the imaginary potential for investigating the melting of a heavy quarkonium in the AdS/CFT correspondence, we study the effects of the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge on both methods in the hyperscaling violated Yang-Mills-dilaton metric background. In the real part of the potential, we find out that the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge increase the real potential and decrease the dissociation length, and hence the quarkonium dissociates easily. In the imaginary part of the potential, we show that the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge tend to decrease the thermal width, thus strengthening the suppression of the heavy quarkonium, and making the melting process easier. Also, we show that the obtained results from the real and imaginary potential methods are compatible and complementary.

中文翻译：

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杨米尔斯膨胀黑洞中重夸克素的全息实部和虚部势


在研究 AdS/CFT 对应中重夸克元素熔化的实势和虚势方法中，我们研究了动力学指数、超尺度破坏参数和 Yang-Mills 电荷对两种方法的影响超尺度违反了杨米尔斯膨胀度量背景。在势的实部，我们发现动力学指数、超尺度破坏参数和杨-米尔斯电荷增加了实势并减小了解离长度，因此夸克离子容易解离。在势的虚部，我们表明动力学指数、超尺度破坏参数和杨-米尔斯电荷倾​​向于减小热宽度，从而加强对重夸克姆的抑制，并使熔化过程更容易。此外，我们还表明，实势方法和虚势方法获得的结果是兼容和互补的。