论文标题

对组成夸克质量的边界影响和四弗米互动模型中的手性敏感性

Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model

论文作者

Abreu, L. M., Corrêa, E. B. S., Nery, E. S.

论文摘要

在这项工作中,我们研究了对两种味道互动的两种味道相互作用模型的有限尺寸影响,并考虑了不同的边界条件,并在存在磁性背景的情况下进行了磁性背景。我们在带有反碘和周期性边界条件的环形拓扑结构中采用平均场近似值和舒林格的适当时间方法。在相关参数的变化下,研究了手性易感性和组成夸克质量:压缩坐标的大小,温度,化学势和磁场强度,在边界条件的不同情况下以及味道混合参数的价值。研究结果表明,该系统的热力学行为受相关变量的综合效应的强烈影响,具体取决于它们的变化范围,风味混合参数的价值和边界条件的选择。

In this work we investigate the finite-size effects on the phase structure of a two-flavor four-fermion interaction model with a flavor-mixing four-body interaction and in the presence of a magnetic background, taking into account different boundary conditions. We employ mean-field approximation and Schwinger's proper-time method in a toroidal topology with antiperiodic and periodic boundary conditions. The chiral susceptibility and constituent quark masses are studied under the change of the relevant parameters: size of compactified coordinates, temperature, chemical potential and magnetic field strength, within the different scenarios of boundary conditions and the value of flavor-mixing parameter. The findings suggest that the thermodynamic behavior of this system is strongly affected by the combined effects of relevant variables, depending on the range of their change, the value of flavor-mixing parameter and the choice of boundary conditions.

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