AI 中文总结
本研究在Born-Infeld黑洞背景的全息QCD框架下，数值分析有限温密下的手征相变，发现Born-Infeld参数会移动二级相边界但不改变相变阶数，验证了非线性体电动力学对相图的重要影响。
AI 中文摘要
在全息QCD框架内，我们通过数值方法研究了有限温度和化学势下的手征对称性破缺及相关相变。该模型构建于非线性带电Born-Infeld黑洞背景之上。从体标量场的渐近行为提取的手征凝聚是主要的序参量。在零化学势下，我们发现物理夸克质量对应的手征交叉转变的赝临界温度为$T_{pc}=0.1477$ GeV。在手征极限下，该转变变为一级相变，临界温度为$T_{c}=0.1337$ GeV。在轻夸克质量为零时，临界奇异夸克质量$m_s=37$ MeV是一级和二级相变区域的分界。对于有限化学势（$μ$）、物理奇异夸克质量（$m_s=95$ MeV）且轻夸克无质量的情况，转变仍为二级相变，且$T_c$随$μ$增大而降低。介子极化率$(χ_π-χ_σ)$的行为进一步支持了这些结果，该极化率表现出快速的热衰减，并在跨越相边界时趋于收敛。引入Born-Infeld参数$β$后，较小的$β$会将二级相边界移至更高温度（稳定手征破缺相），但在所研究的参数范围内不会改变相变的阶数，也不会引入临界终点。我们的研究结果与此前的软墙模型研究一致，凸显了非线性体电动力学在修改手征相图方面的重要作用。
英文摘要
Within a holographic QCD framework, we numerically investigate chiral symmetry breaking and the associated phase transition at finite temperature and chemical potential. The model is constructed on a nonlinear charged Born-Infeld black hole background. The chiral condensate, extracted from the asymptotic behavior of the bulk scalar field, serves as the primary order parameter. At zero chemical potential, we find a chiral crossover transition for physical quark masses with a pseudocritical temperature of $T_{pc}=0.1477$ GeV. In the chiral limit, the transition becomes first-order with a critical temperature of $T_{c}=0.1337$ GeV. A critical strange quark mass of $m_s=37$ MeV, at zero light quark mass, separates first- and second-order transition regions. For finite chemical potential ($μ$) and a physical strange mass ($m_s=95$ MeV) with massless light quarks, the transition remains second-order, with $T_c$ decreasing as $μ$ increases. These results are further supported by the behavior of meson susceptibilities $(χ_π-χ_σ)$, which exhibit a rapid thermal decay and convergence across the phase boundary. Introducing the Born-Infeld parameter $β$ shifts the second-order phase boundary to higher temperatures for smaller $β$ (stabilizing the chirally broken phase) but does not alter the transition order or introduce a critical endpoint within the studied range. Our findings are consistent with previous soft-wall model studies and highlight the significant role of nonlinear bulk electrodynamics in modifying the chiral phase diagram.
