有限温度下夸克介子模型的有效势  

The effective potential of the quark-meson model at finite temperature

作　　者：陈建兴[1] 林艳英 吴雨晴[1] 候金鑫 姜雪[1] 

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2015年第1期29-35,共7页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：使用最优化微扰论方法计算了夸克介子模型下的有效势.在计算过程中,展开到最优化微扰论参数的一阶,从而明显地包含了普通有效势的双圈图效应,对应于普通有效势中的二阶展开.但由于该方法的本质是变分方法,所以更高阶的效应隐含在有效势的表达式中,从而提高了计算的精度.同时,因零温度部分的重整化可能定性地影响相变的性质,因此我们使用改变的最小减除方案对有效势的零温部分进行了重整化.结果表明,通过最优化微扰论方法计算出的有效势,与夸克介子模型下的普通有效势一样都是可重整化的,不会出现新的复杂性.给出的展开到一阶的有效势的解析表达式可以用来进一步研究QCD的相图等物理现象.The effective potential of the quark meson model at finite temperature is obtained by using the optimized perturbation method. In our calculations, we expand the effective potential to the first order in OPT parameters so that the two loop effects are included explicitly, which corresponds to the second order in h in the common effective potential. Howerer, since the OPT is essentially a variational method, the higher order effects can be included in the effective potential implicitly so that the accuracy can be improved. Renormalization for zero temperature part may affect the nature of a phase transition qualitatively, so we renormalized the zero temperature part by using the modified minimal subtraction scheme. Our results show that the effective potential from the OPT method is renormalizable as the common one,no new complexity appears. The analytic expressions we obtained for the first order effective potential can be applied further to investigate QCD phase diagrams and other phenomena.

关 键 词：有效势 最优化微扰论 重整化 夸克介子模型 量子色动力学 

分 类 号：O572.33[理学—粒子物理与原子核物理]