磁场与旋转下的手征孤子晶格:全息分析
Chiral Soliton Lattices under Magnetic Fields and Rotation: a Holographic Analysis
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中文总结 AI 辅助
在全息QCD框架下,研究磁场中旋转QCD物质的手征孤子晶格,给出其引力对偶基态的膜诠释,推导含各向异性介子衰变常数的有效哈密顿量,并分析该基态的热力学性质与物态方程。
中文摘要 AI 辅助
我们在全息QCD框架下研究了背景磁场中旋转QCD物质内的手征孤子晶格(CSL)。研究表明,旋转可作为背景规范场纳入体系,旋转物质中的CSL成为引力对偶中的基态;还给出了磁场与旋转下CSL的膜诠释。求解体方程后,推导了有效哈密顿量,其中介子衰变常数$\tilde{f}$呈现为各向异性、依赖于场的矩阵;此外,讨论了旋转物质基态的热力学性质并研究了其物态方程。
英文摘要
We study the chiral soliton lattice (CSL) in rotating QCD matter under a background magnetic field within holographic QCD. We show that rotation can be incorporated as a background gauge field and that the CSL in rotating matter becomes a ground state in the gravity dual. We also provide a brane interpretation of the CSL under a magnetic field and rotation. Solving the bulk equations, we derive an effective Hamiltonian where the meson decay constant $\tilde{f}$ emerges as an anisotropic, field-dependent matrix. Furthermore, we discuss the thermodynamic properties of the ground state in rotating matter and study its equation of state.