Various thermodynamic quantities and the phase diagram of strongly interacting hot and dense magnetized quark matter are obtained with the 2-flavour Nambu–Jona-Lasinio model with Polyakov loop considering finite values of the anomalous magnetic moment (AMM) of the quarks. Susceptibilities associated with constituent quark mass and traced Polyakov loop are used to evaluate chiral and deconfinement transition temperatures. It is found that, inclusion of the AMM of the quarks in presence of the background magnetic field results in a substantial decrease in the chiral as well as deconfinement transition temperatures in contrast to an enhancement in the chiral transition temperature in its absence. Using standard techniques of finite temperature field theory, the two point thermo-magnetic mesonic correlation functions in the scalar (\(\sigma \)) and neutral pseudoscalar (\(\pi ^0\)) channels are evaluated to calculate the masses of \(\sigma \) and \( \pi ^0 \) considering the AMM of the quarks.

中文翻译：

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夸克异常磁矩对PNJL模型中磁化热和致密物质的热力学性质和中子激发的影响

考虑到夸克反常磁矩（AMM）的有限值，利用带有Polyakov环的2-味Nambu-Jona-Lasinio模型获得了各种热力学量和强相互作用的热夸克物质的相图。与构成夸克质量和跟踪的Polyakov环相关的磁化率用于评估手性和脱限过渡温度。已经发现，在不存在背景磁场的情况下，将夸克的AMM包括在存在背景磁场的情况下导致手性和非约束转变温度的显着降低。使用有限温度场理论的标准技术，标量中的两点热磁介子相关函数（考虑到夸克的AMM，对\（\ sigma \））和中性伪标量（\（\ pi ^ 0 \））通道进行评估，以计算\（\ sigma \）和\（\ pi ^ 0 \）的质量。